Starting equation:
x
3
- x - 5
5
= 3
Multiply both sides by (3)(5)=15, to get:
(3)(5) x
3
- (3)(5) x - 5
5
= (3)(5)(3)
5x - (3)(x-5) = 45

Remove parentheses using "a(b+c)=ab+ac":
5x - 3x -3(-5) = 45
5x - 3x + 15 = 45
2x + 15 = 45

Subtract 15 from both sides:
2x + 15 - 15 = 45 - 15
2x = 30
Finally, divide both sides by 2:
x = 15