Can I fix my problem?

The Bible says that whether we sin a little or shred God's law into dust, the result (death) is the same. It also doesn't matter how we sever our connection with God (lying, cheating, disrespecting our parents, using God's name flippantly, having sex outside of marriage, hurting someone, holding a grudge,...). If our sin is what separates us from God, then couldn't we just do enough good to outweigh the bad? God says no. "Works" is the word the Bible uses for those things we do to try to fix our problem. ...you know, things like penance, baptism, prayer, rituals, giving money, serving in soup kitchens, going to church. But according to the Bible, you and I can't be good enough or do enough good things to bridge the gap between us and God. It's literally impossible. Even at our very best, we fall far, far short of God’s standard: perfection. We are powerless to fix our problem. You and I stand condemned and are absolutely helpless to do anything about it. Where's the good news in that?!?