To solve for x, we first need to find a common denominator for the fractions on the right side of the equation.

The common denominator for 9 and 8 is 72. So, we rewrite the equation as:

(16/72) - (63/72)x = 24/72

Now, we combine the fractions:

(16 - 63x) / 72 = 24 / 72

Now, we can solve for x:

16 - 63x = 24

Subtract 16 from both sides:

-63x = 8

Divide by -63:

x = -8/63

Therefore, the solution to the equation 2/9 - 7/8x = 1/3 is x = -8/63.