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

Oct 26, 2016

$x = - 3$

#### Explanation:

To solve this equation execute the following operations to keep the equation balanced while solving for $x$:

$- 5 x - 14 = 2 x + 7$

$- 5 x + 5 x - 14 = 2 x + 5 x + 7$

$- 14 = 7 x + 7$

$- 14 - - 7 = 7 x + 7 - 7$

$- 21 = 7 x$

$\left(\frac{1}{7}\right) 7 x = \left(\frac{1}{7}\right) \left(- 21\right)$

$x = - 3$