# How do you solve 12+11h= -18-4h?

Mar 31, 2018

$h = - 2$

#### Explanation:

$\text{collect terms in x on the left side and numeric value on}$
$\text{the right side}$

$\text{add 4h to both sides}$

$12 + 4 h + 11 h = - 18 \cancel{- 4 h} \cancel{+ 4 h}$

$\Rightarrow 12 + 15 h = - 18$

$\text{subtract 12 from both sides}$

$\cancel{12} \cancel{- 12} + 15 h = - 18 - 12$

$\Rightarrow 15 h = - 30$

$\text{divide both sides by 15}$

$\frac{\cancel{15} h}{\cancel{15}} = \frac{- 30}{15}$

$\Rightarrow h = - 2$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the equation and if both sides are equal then it is the solution.

$\text{left } = 12 + \left(11 \times - 2\right) = 12 - 22 = - 10$

$\text{right } = - 18 - \left(4 \times - 2\right) = - 18 + 8 = - 10$

$\Rightarrow h = - 2 \text{ is the solution}$