How do you solve 3(x+6) = x-6?

Jul 1, 2016

$x = - 12$

Explanation:

Given:
$\textcolor{w h i t e}{\text{XXX}} 3 \left(x + 6\right) = x - 6$

Distribute the multiplication on the left side
$\textcolor{w h i t e}{\text{XXX}} 3 x + 18 = x - 6$

Subtract $18$ from both sides:
$\textcolor{w h i t e}{\text{XXX}} 3 x = x - 24$

Subtract $x$ from both sides
$\textcolor{w h i t e}{\text{XXX}} 2 x = - 24$

Divide both sides by $2$
$\textcolor{w h i t e}{\text{XXX}} x = - 12$