\frac{9x}{8}=\frac{7}{4}+5

Sure, let's solve the equation step by step.

1. First, simplify the right side of the equation. 5 is equivalent to 20/4, so the equation becomes:

   $\frac{9x}{8}=\frac{7}{4}+\frac{20}{4}$

2. Add the fractions on the right side:

   $\frac{9x}{8}=\frac{27}{4}$

3. To isolate x, multiply both sides by the reciprocal of 9/8, which is 8/9:

   $x=\frac{27}{4}*\frac{8}{9}$

4. Simplify the right side:

   $x=\frac{216}{36}$

5. Simplify further to get the final answer:

   $x=6$