# How do you solve -x/3-5=2x?

Jan 10, 2016

$x = - \frac{15}{7}$

#### Explanation:

$- \frac{x}{3} - 5 = 2 x$

Multiply both sides by $\textcolor{red}{3}$.

$\implies \textcolor{red}{3} \left(- \frac{x}{3} - 5\right) = \textcolor{r e D}{3} \left(2 x\right)$

$\implies - x - 15 = 6 x$

Add $\textcolor{p u r p \le}{x}$ on both sides.

$\implies \textcolor{p u r p \le}{x} - x - 15 = 6 x + \textcolor{p u r p l E}{x}$

$\implies - 15 = 7 x$
$\implies 7 x = - 15$

Divide both sides by $\textcolor{b l u e}{7}$.

$\implies \frac{7 x}{\textcolor{b l u e}{7}} = - \frac{15}{\textcolor{b l u e}{7}}$

$\implies x = - \frac{15}{7}$