# How do you solve -5+ 2x = 5x - ( 8x + 5)?

Apr 7, 2018

$x = 0$

Here's how I did it:

#### Explanation:

$- 5 + 2 x = 5 x - \left(8 x + 5\right)$

First, we distribute the negative sign to everything in the parenthesis:
$- 5 + 2 x = 5 x - 8 x - 5$

Do $5 x - 8 x$:
$- 5 + 2 x = - 3 x - 5$

Add $3 x$ to both sides of the equation:

$- 5 + 2 x + \textcolor{red}{3 x} = - 3 x + \textcolor{red}{3 x} - 5$

$- 5 + 5 x = - 5$

Add $5$ to both sides of the equation:

$- 5 + \textcolor{red}{5} + 5 x = - 5 + \textcolor{red}{5}$

$5 x = 0$

Divide both sides by $5$:

$\frac{5 x}{\textcolor{red}{5}} = \frac{0}{\textcolor{red}{5}}$

$x = 0$

Hope this helps!