Not just enough, but double forgiveness. That's how it is with the Gospel - more forgiveness than we have sin to forgive. There is no sin so great that Jesus didn't atone for it on the cross. No life so wretched that God could not redeem it. The problem with general confession is that we become generic sinners.
Generalities are safe.
Poor, miserable sinner. That includes you, me, and five billion other people in the world. The Law says we are guilty of all these things, each in our own, perverse and destructive way. Some openly, some secretly. Some externally, by our words and deeds, others internally, by our thoughts and desires.