# How do you solve \frac{2}{3} x - 3x + 21= 0?

Jun 6, 2018

$x = 9$

#### Explanation:

First, subtract $21$ from both sides.

$\frac{2}{3} x - 3 x = 21$

Second, add like terms. Then you should have

$- \frac{7}{3} x = - 21$

Third, multiply both sides by $- 3$, leaving you with

$7 x = 63$

Fourth, divide both sides by $7$ and then you will end with

$x = 9$

Jun 6, 2018

$\textcolor{red}{\implies x = 9}$

#### Explanation:

$\frac{2}{3} x - 3 x + 21 = 0$

$\implies \frac{2}{3} x - \frac{9}{3} x + 21 = 0$

$\implies - \frac{7}{3} x + 21 = 0$

$\implies \cancel{-} \frac{7}{3} x = \cancel{-} 21$

$\implies 7 x = 63$

color(red)(=>x=9

~Hope this helps! :)