So no, "good works must outweigh my bad works" isn't "their belief".
Interestingly, it was St. Anselm -- who was given the title Doctor of the Church _and_ is considered to be one of the theological forebearers of the reformation, who established that every sin is an infinite offense against the majesty of God. How then can finite good works "outweigh" the infinite offense of even a single sin? They can't apart from the gracious mercy of God.