X + 4/96 + 5/204 = 15/x

To solve the equation, we need to find the value of x.

First, let's find a common denominator for the fractions on the left side of the equation. The least common multiple of 96 and 204 is 4896.

Rewriting the fractions with the common denominator:
(4/96) + (5/204) = (4*51/4896) + (5*24/4896) = 204/4896 + 120/4896 = 324/4896

Now, we can rewrite the equation as:
324/4896 = 15/x

To solve for x, we can cross-multiply:
324x = 15 * 4896

Divide both sides by 324:
x = (15 * 4896) / 324

x ≈ 224.44

Therefore, the value of x is approximately 224.44.