Answer
x$\gt$5.
(5,infinity).
Work Step by Step
Solve this inequality: 3(2x-7)-4x$\gt$-(x+6)
6x-21-4x$\gt$-x-6
2x-21$\gt$-x-6
2x-21+x$\gt$-x-6+x
3x-21$\gt$-6
3x-21+21$\gt$-6+21
3x$\gt$15
Divide both sides by 3.
$\frac{3x}{3}\gt\frac{15}{3}$
Simplify.
x$\gt$5.
Solution set: (5,infinity)