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

Feb 1, 2016

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

Explanation:

1. Multiply both sides of the equation by 3 to get rid of the denominator in -x/3.

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

$3 \left(- \frac{x}{3} - 5\right) = 3 \left(2 x\right)$

$- x - 15 = 6 x$

2. Bring 15 to the other side of the equation.

$- x - 15$ $\textcolor{red}{+ 15} = 6 x$ $\textcolor{red}{+ 15}$

3. Simplify.

$- x = 6 x + 15$

4. Bring 6x to the other side of the equation.

$- x$ $\textcolor{red}{- 6 x} = 6 x$ $\textcolor{red}{- 6 x} + 15$

5. Simplify.

$- 7 x = 15$

6. Divide -7 from both sides.

$- 7 x \textcolor{red}{\div - 7} = 15 \textcolor{red}{\div - 7}$

7. Simplify.

$\textcolor{g r e e n}{x = - \frac{15}{7}}$