# How do you solve x/6 - (3x)/2 = 16/3?

Jan 5, 2017

$x = - 4$

#### Explanation:

$\frac{x}{6} - \frac{3 x}{2} = \frac{16}{3}$

Multiply all terms by $6$.

$\left(6 \times \frac{x}{6}\right) - \left(6 \times \frac{3 x}{2}\right) = 6 \times \frac{16}{3}$

$\left(\cancel{6} \times \frac{x}{\cancel{6}}\right) - \left(3 \cancel{6} \times \frac{3 x}{\cancel{2}}\right) = 2 \cancel{6} \times \frac{16}{\cancel{3}}$

$x - 9 x = 32$

$- 8 x = 32$

Divide both sides by $8$.

$- x = 4$ or $x = - 4$