Genesis 3 does not mention Satan, just the serpent. The serpent’s motive in tricking Eve into eating the forbidden fruit is not stated.
I believe the serpent’s idea in tricking Eve was so that she & Adam might not completely trust God. It didn’t completely work,but certainly played a part in world history & the workings of Satan.
14 So the Lord God said to the serpent, “Because you have done this,
“Cursed are you above all livestock
and all wild animals!
You will crawl on your belly
and you will eat dust
all the days of your life.
15
And I will put enmity
between you and the woman,
and between your offspring[a] and hers;
he will crush[b] your head,
and you will strike his heel.”
And then in Revelation:
Revelation 12:9
New International Version
9 The great dragon was hurled down—that ancient serpent called the devil, or Satan, who leads the whole world astray. He was hurled to the earth, and his angels with him.