How do you solve  3/2 - 5/3x = 5/6?

Feb 14, 2016

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

Explanation:

Simplify $\frac{5}{3} x$ to $\frac{5 x}{3}$.

$\frac{3}{2} - \frac{5 x}{3} = \frac{5}{6}$

Multiply both sides by $6$.

$\frac{3}{2} \left(6\right) - \frac{5 x}{3} \left(6\right) = 5$

Simplify.

$\frac{18}{2} - \frac{30 x}{3} = 5$

Simplify.

$9 - 10 x = 5$

Subtract $9$ from both sides.

$- 10 x = 5 - 9$

$- 10 x = - 4$

Divide both sides by $- 10$.

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

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

Simplify.

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