# How do you solve 3- 2x = 8+ 2x?

Jun 5, 2018

$x = - \frac{5}{4}$ or about $- 1.25$

#### Explanation:

$3 - 2 x = 8 + 2 x$

To solve for the variable $x$, we have to make it by itself. First, subtract $\textcolor{b l u e}{2 x}$ from both sides of the equation:
$3 - 2 x \quad \textcolor{b l u e}{- \quad 2 x} = 8 + 2 x \quad \textcolor{b l u e}{- \quad 2 x}$

$3 - 4 x = 8$

Now subtract $\textcolor{b l u e}{3}$ from both sides:
$3 - 4 x \quad \textcolor{b l u e}{- \quad 3} = 8 \quad \textcolor{b l u e}{- \quad 3}$

$- 4 x = 5$

Divide both sides by $\textcolor{b l u e}{- 4 x}$:
$\frac{- 4 x}{\textcolor{b l u e}{- 4}} = \frac{5}{\textcolor{b l u e}{- 4}}$

$x = - \frac{5}{4}$ or about $- 1.25$

Hope this helps!