#### Answer

The solution set is $\left\{11\right\}$.

#### Work Step by Step

Solve using the different properties of Algebra to find:
$-5x=-41-14
\\-5x=-55
\\x = \frac{-55}{-5}
\\x=11$
Check:
$14-5(11)\stackrel{?}{=}-41
\\14-55\stackrel{?}{=}-41
\\-41 \stackrel{\checkmark}{=}-41$
The solution set is $\left\{11\right\}$.