# How do you solve \frac { 6} { x } = \frac { 4} { 3x } + 1?

Jan 16, 2018

$x = \frac{14}{3}$

#### Explanation:

$\frac{6}{x} = \frac{4}{3 x} + 1$

Multiply through by $x$:

$\to 6 = \frac{4}{3} + x$

$\to x + \frac{4}{3} = 6$

Now subtract $\frac{4}{3}$:

$x = 6 - \frac{4}{3} = \frac{18}{3} - \frac{4}{3} = \frac{14}{3}$

$\therefore x = \frac{14}{3}$