1/2(x-3)=5/12 + 2/3(2x-5)
1/2(x-3)=5/12 + 2/3(2x-5) multiply through by 12
6(x -3) = 5 + 8(2x - 5) simplify
6x - 18 = 5 + 16x - 40
6x - 18 = -35 + 16x add 35 to both sides, subtract 6x from both sides
17 = 10x divide both sides by 10
17 / 10 = x