A-G: We are just branches. Only God is good. (Matt 19:17) Whatever good comes of our lives is not us, but God doing His will through us. The works we do on our own are as filthy rags. (Isaiah 64:6)
I didn't say we "worketh good." It's in Rom 2:10. If you have an issue with "worketh good" work it out with +Paul. He authored that expression.
I apologize in advance for the length of this post. But your claim requires a thorough revelation from the words of God. Emphasis mine.
First, Gods judgment towards those in the Law v those outside of the Law from Romans 2:
Or despisest thou the riches of his goodness and forbearance and longsuffering; not knowing that the goodness of God leadeth thee to repentance? But after thy hardness and impenitent heart treasurest up unto thyself wrath against the day of wrath and revelation of the righteous judgment of God; Who will render to every man according to his deeds: To them who by patient continuance in well doing seek for glory and honour and immortality, eternal life: But unto them that are contentious, and do not obey the truth, but obey unrighteousness, indignation and wrath, Tribulation and anguish, upon every soul of man that doeth evil, of the Jew first, and also of the Gentile; For there is no respect of persons with God.
For as many as have sinned without law shall also perish without law: and as many as have sinned in the law shall be judged by the law; (For not the hearers of the law [are] just before God, but the doers of the law shall be justified. For when the Gentiles, which have not the law, do by nature the things contained in the law, these, having not the law, are a law unto themselves: Which shew the work of the law written in their hearts, their conscience also bearing witness, and [their] thoughts the mean while accusing or else excusing one another;) In the day when God shall judge the secrets of men by Jesus Christ according to my gospel. Romans 2:1-16
When I shall say to the righteous, [that] he shall surely live; if he trust to his own righteousness, and commit iniquity, all his righteousnesses shall not be remembered; but for his iniquity that he hath committed, he shall die for it.
Again, when I say unto the wicked, Thou shalt surely die; if he turn from his sin, and do that which is lawful and right; [If] the wicked restore the pledge, give again that he had robbed, walk in the statutes of life, without committing iniquity; he shall surely live, he shall not die. None of his sins that he hath committed shall be mentioned unto him: he hath done that which is lawful and right; he shall surely live.
Yet the children of thy people say, The way of the Lord is not equal: but as for them, their way is not equal.
When the righteous turneth from his righteousness, and committeth iniquity, he shall even die thereby. But if the wicked turn from his wickedness, and do that which is lawful and right, he shall live thereby.
Yet ye say, The way of the Lord is not equal. O ye house of Israel, I will judge you every one after his ways. Ezekiel 33:12-20
For what the law could not do, in that it was weak through the flesh, God sending his own Son in the likeness of sinful flesh, and for sin, condemned sin in the flesh: That the righteousness of the law might be fulfilled in us, who walk not after the flesh, but after the Spirit.
For they that are after the flesh do mind the things of the flesh; but they that are after the Spirit the things of the Spirit. For to be carnally minded [is] death; but to be spiritually minded [is] life and peace. Because the carnal mind [is] enmity against God: for it is not subject to the law of God, neither indeed can be. So then they that are in the flesh cannot please God.
But ye are not in the flesh, but in the Spirit, if so be that the Spirit of God dwell in you. Now if any man have not the Spirit of Christ, he is none of his. Romans 8:1-9
The bottom line is this: if we try to live by the Law, God will let us and we will fail. The ones who never heard of Christ or the Law will be judged by the law written in their hearts. The ones who are in Christ Jesus are free from the Law.
Wherefore, my brethren, ye also are become dead to the law by the body of Christ; that ye should be married to another, [even] to him who is raised from the dead, that we should bring forth fruit unto God. For when we were in the flesh, the motions of sins, which were by the law, did work in our members to bring forth fruit unto death.
But now we are delivered from the law, that being dead wherein we were held; that we should serve in newness of spirit, and not [in] the oldness of the letter. What shall we say then? [Is] the law sin? God forbid. Nay, I had not known sin, but by the law: for I had not known lust, except the law had said, Thou shalt not covet.
But sin, taking occasion by the commandment, wrought in me all manner of concupiscence. For without the law sin [was] dead. For sin, taking occasion by the commandment, deceived me, and by it slew [me]. Wherefore the law [is] holy, and the commandment holy, and just, and good.
Was then that which is good made death unto me? God forbid. But sin, that it might appear sin, working death in me by that which is good; that sin by the commandment might become exceeding sinful. For we know that the law is spiritual: but I am carnal, sold under sin. For that which I do I allow not: for what I would, that do I not; but what I hate, that do I.
If then I do that which I would not, I consent unto the law that [it is] good. Now then it is no more I that do it, but sin that dwelleth in me. For I know that in me (that is, in my flesh,) dwelleth no good thing: for to will is present with me; but [how] to perform that which is good I find not. For the good that I would I do not: but the evil which I would not, that I do. Now if I do that I would not, it is no more I that do it, but sin that dwelleth in me. I find then a law, that, when I would do good, evil is present with me.
For I delight in the law of God after the inward man: But I see another law in my members, warring against the law of my mind, and bringing me into captivity to the law of sin which is in my members. O wretched man that I am! who shall deliver me from the body of this death? I thank God through Jesus Christ our Lord. So then with the mind I myself serve the law of God; but with the flesh the law of sin.Romans 7:1-25
As it is written, There is none righteous, no, not one: There is none that understandeth, there is none that seeketh after God. They are all gone out of the way, they are together become unprofitable; there is none that doeth good, no, not one. Romans 3:1-12
And one of the elders saith unto me, Weep not: behold, the Lion of the tribe of Juda, the Root of David, hath prevailed to open the book, and to loose the seven seals thereof. And I beheld, and, lo, in the midst of the throne and of the four beasts, and in the midst of the elders, stood a Lamb as it had been slain, having seven horns and seven eyes, which are the seven Spirits of God sent forth into all the earth. And he came and took the book out of the right hand of him that sat upon the throne.
And when he had taken the book, the four beasts and four [and] twenty elders fell down before the Lamb, having every one of them harps, and golden vials full of odours, which are the prayers of saints. And they sung a new song, saying, Thou art worthy to take the book, and to open the seals thereof: for thou wast slain, and hast redeemed us to God by thy blood out of every kindred, and tongue, and people, and nation; And hast made us unto our God kings and priests: and we shall reign on the earth.
And I beheld, and I heard the voice of many angels round about the throne and the beasts and the elders: and the number of them was ten thousand times ten thousand, and thousands of thousands; Saying with a loud voice, Worthy is the Lamb that was slain to receive power, and riches, and wisdom, and strength, and honour, and glory, and blessing.
And every creature which is in heaven, and on the earth, and under the earth, and such as are in the sea, and all that are in them, heard I saying, Blessing, and honour, and glory, and power, [be] unto him that sitteth upon the throne, and unto the Lamb for ever and ever. And the four beasts said, Amen. And the four [and] twenty elders fell down and worshipped him that liveth for ever and ever. Revelation 5
But if anyone wants to try to do good by his own efforts, He'll let him and he will fail because of the Law.