# How do you solve 5x - 2( 7x + 1) = 14x?

May 31, 2017

$x = - \frac{2}{23}$

#### Explanation:

Multiply the $- 2$ term through.

$5 x - 2 \left(7 x + 1\right) = 14 x$

$5 x - 14 x - 2 = 14 x$

$- 9 x - 2 = 14 x$

Add $9 x$ to both sides

$- 9 x \textcolor{red}{+ 9 x} - 2 = 14 x \textcolor{red}{+ 9 x}$

$- 2 = 23 x$

Divide both sides by $23$

$x = - \frac{2}{23}$