# How do you solve 3/4(x+2)=-1?

Feb 15, 2016

$x = - \frac{10}{3}$

#### Explanation:

$\frac{3}{4} \left(x + 2\right) = - 1$

Multiply both sides by $4$.

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

Simplify.

$\left(\cancel{4}\right) \left(\frac{3}{\cancel{4}}\right) \left(x + 2\right) = - 4$

Simplify.

$3 \left(x + 2\right) = - 4$

Expand the left side.

$3 x + 6 = - 4$

Subtract $6$ from both sides.

$3 x = - 4 - 6$

Simplify.

$3 x = - 10$

Divide both sides by $3$.

$x = - \frac{10}{3}$