To solve this equation, we first need to simplify the expression on the right side.

5 + 1/2 = 10/2 + 1/2 = 11/2

Now, we can rewrite the equation:

-7/8 - x = 11/2 / (-8/99)

To divide by a fraction, we can multiply by its reciprocal:

-7/8 - x = 11/2 * (-99/8)

Next, we multiply the numerators and denominators:

-7/8 - x = -1089/16

To solve for x, we need to isolate x:

-x = -1089/16 + 7/8

Now we need to find a common denominator to add the fractions:

-x = -1089/16 + 14/16

-x = -1075/16

To solve for x, just multiply both sides by -1 to isolate x:

x = 1075/16

Therefore, x = 1075/16.