# How do you solve 2 / 3 (x − 2) = 4x?

Apr 27, 2018

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

#### Explanation:

$\frac{2}{3} \left(x - 2\right) = 4 x$

Distributing the LHS:

$\frac{2}{3} x - \frac{4}{3} = 4 x$

Subtracting $\frac{2}{3} x$ from both sides:

$- \frac{4}{3} = \frac{10}{3} x$

Multiplying both sides by $3$:

$- 4 = 10 x$

Dividing both sides by $10$:

$- \frac{4}{10} = x$

Hence,

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