He didn't. Stirring their brew, the Three Witches saw Macbeth's predestined fate. There was no escaping his downfall, anymore than any man trapped in the irrational momentum of civilizaion can escape our downfall. The Witches cauldron of fate, where stirring the ingredients of civilization's death preoccupation, reveals every man's future without exception.
Every tragedy needs a character that makes a tragic flaw. Macbeth's tragic flaw was when he said that he waded halfway through the water and it would be just as easy to keep on going than to walk back, or something to that effect. Remember when he tried to wash the blood off his hands after killing the king, and he talked about how his hands were making the sea red (the sea being the water that he was washing his hands in). Well it was at that point that water became a symbol of death. So when he talks about wading into the water and going halfway through and realizing that he might as well keep on walking through it, he's essentially saying that the best way to get out of his mess was to keep on walking to the other side of the water (meaning to continue on his killing spree). Him saying this was his tragic flaw. Or maybe the tragic flaw was believing what the witches told him? I guess its arguable. Wait! no the tragic flaw that leads to his downfall was probably when he believed the witches when they told him that he was invincible. ya that was probably the tragic flaw. in any case i'm too lazy to go grab my macbeth book and actually look up the quotes. search the web for macbeth's "tragic flaw" or "tragic mistake" and you'll find what lead him to his downfall. I'm guessing you'll find a bunch of persuasive essays that say different things.