To solve for x, we first convert the mixed numbers to improper fractions:

5 2/3 = 5 + 2/3 = 15/3 + 2/3 = 17/3

Now we can rewrite the equation:

1 5/12 = 1 + 5/12 = 12/12 + 5/12 = 17/12

(17/12) = (2/3)(x)/24

Next, we cross multiply:

17 24 = 12 2x
408 = 24 * 2x
408 = 48x

Now we can solve for x:

x = 408/48
x = 17/2

Therefore, x = 8.5.