# Chapter 1 - Section 1.4 - Solving Linear Equations - Exercise Set - Page 50: 9

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 $\left\{13\right\}$.

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