**************find x

Answer:
x = 6
Step-by-step explanation:
2/(x-2) = 5/(4+x) - set up the ratios of similar sides
2(4 + x) = 5(x - 2) - cross multiply to solve
8 + 2x = 5x - 10 - simplify
18 = 3x - simplify to get x on one side of the equation
6 = x - divide both sides of the equation by 3 to isolate x