$\frac{5 u-7}{4}-\frac{3 u-8}{2}=2$

Step 1 ：The given equation is \(\frac{5 u-7}{4}-\frac{3 u-8}{2}=2\).

Step 2 ：We need to simplify the equation and isolate the variable u on one side of the equation.

Step 3 ：By solving the equation, we find that the solution is u = 1.

Step 4 ：This means that when u = 1, the equation is satisfied.

Step 5 ：Final Answer: \(u = \boxed{1}\)