Answer
$(-3,\infty)$
Work Step by Step
$6x+5\gt -2(x-3)-25 \qquad ...$ distribute
$ 6x+5\gt -2x+6-25\qquad ...$ add $2\mathrm{x}-5$ to both sides, simplify
$ 8x\gt -24\qquad ...$divide with 8
$x\gt -3$
The solution set is $(-3,\infty)$