You have the following equation:
-2/3 (x + 12) + 2/3 x = -5/4 x + 2
in order to solve for x, proceed as follow
-2/3 (x + 12) + 2/3 x = -5/4 x + 2 multiply both sides by the LCM = 12
(-2/3 (x + 12) + 2/3 x = -5/4 x + 2)(12)
-2(x + 12)(4) + 2x(4) = -5x(3) + 24
-8(x + 12) + 8x = -15x + 24
-8x - 8(12) + 8x = -15x + 24
-8x - 106 + 8x = -15x + 24 simplify like terms both sides
-106 = -15x + 24 subtract 24 both sides
-106 - 24 = -15x
-130 = -15x divide by -15 both sides
130/15 = x
26/3 = x