# How do you solve -14 + 5x = -12?

Dec 24, 2015

$x = \frac{2}{5}$

#### Explanation:

The goal of solving equation is to get the variable by itself.

Always do the opposite operation to isolate the variable.

$- 14 + 5 x = - 12$

color(red)(+ 14 " " " " " " +14
$- - - - - - - -$

$5 x \text{ " } = 2$

(5x)/color(red)(5) " " " = 2/(color(red)(5)

$x \text{ } = \frac{2}{5}$

Check the solution

-14+ 5(2/5 ) =? " -12

$- 14 + 2 = - 12$

$- 12 = - 12$

The solution $x = \frac{2}{5}$ is correct!