# How do you solve \frac { 5 } { 3 x + 2 } = \frac { 3 } { 2 x }?

Jun 11, 2017

$x = 6$

#### Explanation:

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

We can use cross multiplication to simplify the equation to get this:

$5 \left(2 x\right) = 3 \left(3 x + 2\right)$

Next, we can simplify the right side by using the Distributive Property and multiply out the left side:

$10 x = 9 x + 6$

We then move all the $x$ terms to the left side by subtracting $9 x$ from both sides:

$x = 6$