(6x+6) / (9x - 9) = 32/24
6(x+1) / 9(x-1) = 4/3
(x+1) / (x - 1) = (4/3 * 3/2)
(x+1) / (x - 1) = 2
x + 1 = 2(x - 1)
x + 1 = 2x - 2
x = 3
