Answer
The solution set is $\left\{16\right\}$.
Work Step by Step
Solve using the different properties of Algebra to find:
$5x=72+8
\\5x=80
\\x=\frac{80}{5}
\\x=16$
Check:
$5(16)-8\stackrel{?}{=}72
\\80-8\stackrel{?}{=}72
\\72 \stackrel{\checkmark}{=}72$
The solution set is $\left\{16\right\}$.