First, reorder the terms on the left side:
5x - 13 = - 13 + 5x
5x - 13 = 5x - 13
Add 13 on both sides:
5x - 13 + 13 = 5x - 13 + 13
5x + 0 = 5x + 0
5x = 5x
Subtract 5x on both sides:
5x - 5x = 5x - 5x
0 = 0
