#### Answer

The solution set is $\left\{13\right\}$.

#### Work Step by Step

Subtract $x$ and add $7$ to both sides; then combine like terms to find:
$2x-7-x+7=6+x-x+7
\\x=13$
Check:
$2(13)-7\stackrel{?}{=}6+13
\\26-7\stackrel{?}{=}19
\\19 \stackrel{\checkmark}{=}19$
The solution set is $\left\{13\right\}$.