#### Answer

The solution set is $\left\{7\right\}$.

#### Work Step by Step

Solve using the different properties of Algebra to find:
$11x-6x-(-5)=40
\\5x+5=40
\\5x=40-5
\\5x=35
\\x=\frac{35}{5}
\\x=7$
Check:
$11(7)-(6\cdot7-5)\stackrel{?}{=}40
\\77-(42-5)\stackrel{?}{=}40
\\77-37\stackrel{?}{=}40
\\40 \stackrel{\checkmark}{=}40$
The solution set is $\left\{7\right\}$.