Answer
$\emptyset$
Work Step by Step
$ 3(x-8)-2(10-x)\gt 5(x-1)\qquad$ ... distribute
$ 3x-24-20+2x\gt 5x-5\qquad$ ... simplify
$ 5x-44\gt 5x-5\qquad$ ... add $44-5x $ to both sides
$-44\gt-5$
This is not true for any real $x$.
The solution set is the empty set, $\emptyset$.