# How do you solve 5/12x+1/6=-4/3?

Feb 13, 2017

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

#### Explanation:

$\frac{5}{12} x + \frac{1}{6} = - \frac{4}{3}$

Multiply all terms by the LCM $12$.

$\left(12 \times \frac{5}{12} x\right) + \left(12 \times \frac{1}{6}\right) = - \left(12 \times \frac{4}{3}\right)$

$\left(1 \cancel{12} \times \frac{5}{1 \cancel{12}} x\right) + \left(2 \cancel{12} \times \frac{1}{1 \cancel{6}}\right) = - \left(4 \cancel{12} \times \frac{4}{1 \cancel{3}}\right)$

$5 x + 2 = - 16$

Subtract $2$ from each side.

$5 x = - 18$

Divide both sides by $5$.

$x = - \frac{18}{5}$

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