To solve this equation, you need to isolate the variable x.

First, multiply both sides of the equation by the least common multiple of the denominators of the fractions (in this case, 36) to get rid of the fractions:

2/9x = 5/12
(36)(2/9)x = (36)(5/12)
8x = 15

Now, divide both sides by 8 to solve for x:

8x = 15
x = 15/8
x = 1.875

Therefore, the solution to the equation 2/9x = 5/12 is x = 1.875.