Respuesta :

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