# Question #8d220

##### 1 Answer
Nov 15, 2016

$x = - \frac{1}{4}$

#### Explanation:

If I understand the question, the problem is

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

Multiply both sides by 3.

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

$\cancel{3} \cdot \frac{x - 2}{\cancel{3}} = 3 \cdot 3 x$

$\textcolor{w h i t e}{{a}^{2}} x - 2 = 9 x$
$- x \textcolor{w h i t e}{a {a}^{2} a a} - x \textcolor{w h i t e}{a a a}$Subtract x from both sides

$- 2 = 8 x$

$\frac{- 2}{8} = \frac{8 x}{8} \textcolor{w h i t e}{a a a}$Divide both sides by 8

$- \frac{1}{4} = x$