I know you said "out" because that is what the verse says. What I said is St. Paul said to "Work out your own salvation..." not "Work FOR your own salvation...". Can you understand the difference? Some people quote that verse as if it is saying everyone has to work for their own salvation, but it is not what he said. Working your salvation OUT does not mean you work FOR it. You cannot work out or exercise something you don't already have.
I have heard and seen people say that and it steams me.
Salvation is purely through our Jesus. You can no more gain salvation by good works and “following the laws” than you can get to Mars by standing in a field and wishing hard.
We are commanded to walk with the Lord. That means good works, charity, witnessing and living (and sometimes dying) for our faith.
It is not working FOR our salvation. It is something we must do BECAUSE we are saved.
Easy to get flipped over.