# How do you solve 13x - 22= 2( 9x + 10)?

Jan 30, 2017

$x = - \frac{42}{5}$

#### Explanation:

On the right hand side, start by distributing the $2$ throughout the expression $\left(9 x + 10\right)$. So $2 \times 9 = 18$ and $2 \times 10 = 20$, giving:

$13 x - 22 = 18 x + 20$

Next, add 22 to both sides of the equation.

$13 x = 18 x + 42$

Next, subtract $18 x$ from both sides.

$- 5 x = 42$

Finally, divide both sides by $- 5$

$x = - \frac{42}{5}$