# How do you solve 3(2x - 5) - 2(4x + 1) = -5(x + 3) -2?

Mar 31, 2018

$x = 0$

#### Explanation:

Given
$\textcolor{w h i t e}{\text{XXX}} \textcolor{m a \ge n t a}{3 \left(2 x - 5\right)} - \textcolor{\lim e}{2 \left(4 x + 1\right)} = \textcolor{b r o w n}{- 5 \left(x + 3\right)} - 2$

Expanding each term
$\textcolor{w h i t e}{\text{XXX")color(magenta)(""(6x-15))-color(lime)(""(8x+2))=color(brown)(} \left(- 5 x - 15\right)} - 2$

Combining like terms on the left and right sides
$\textcolor{w h i t e}{\text{XXX}} - 2 x - 17 = - 5 x - 17$

with the obvious solution
$\textcolor{w h i t e}{\text{XXX}} x = 0$