To solve this proportion, we first need to cross multiply:

9(x-2) = 3(x+4)

Expanding both sides:

9x - 18 = 3x + 12

Now, combine like terms:

9x - 3x = 12 + 18

6x = 30

Divide by 6 to solve for x:

x = 5

Therefore, x = 5.