# How do you solve 8x+4=2x-6?

Jun 29, 2015

$x = - \frac{5}{3}$

#### Explanation:

As long as we add, subtract, multiply the same amount on both sides of an equation, the equation remains valid. We can also divide both sides of an equation provided the amount we divide by is not zero and the equation remains valid.

$8 x + 4 = 2 x - 6$
$\textcolor{w h i t e}{\text{XXXX}}$Subtract 4 from both sides
$8 x = 2 x - 10$
$\textcolor{w h i t e}{\text{XXXX}}$Subtract $2 x$ from both sides
$6 x = - 10$
$\textcolor{w h i t e}{\text{XXXX}}$Divide both sides by $6$
$x = - \frac{10}{6} = - \frac{5}{3}$