First, let me say good job Becca in correctly writing these terms with the proper grouping symbols. We need to multiply both sides of the equation by the common denominator, which is (x - 8)(x - 3). That gives us:
3 = (x- 3) + 8(x - 8)
3 = x - 3 + 8x - 64
3 = 9x - 67
70 = 9x
70/9 = x