Answer
$\{-6\}$
Work Step by Step
Step 1. Given the equation $\frac{2x-3}{4}=\frac{x-4}{2}-\frac{x+1}{4}$, multiply $4$ on both sides to get $2x-3=2(x-4)-(x+1)$
Step 2. Simplify the above equation to get $2x-3=2x-8-x-1$ which gives $x=-6$ as the solution or in set form as $\{-6\}$
