X-1 X+2

X-1      X+2

---- +  -----  = 7

  3          6

Getting a common denominator we have

(2(x -1) + x+2) / 6 = 7    multiply both sides by 6

2(x-1) + x + 2  = 42  simplify

2x - 2 + x + 2 = 42

3x = 42     divide both sides by 3

x = 14