# How do you solve -6w-19=-4w-17?

Apr 11, 2018

$w = - 1$

#### Explanation:

$\text{collect terms in w on the left side and numeric values}$
$\text{on the right side of the equation}$

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

$- 6 w + 4 w - 19 - \cancel{- 4 w} \cancel{+ 4 w} - 17$

$\Rightarrow - 2 w - 19 = - 17$

$\text{add 19 to both sides}$

$- 2 w \cancel{- 19} \cancel{+ 19} = - 17 + 19$

$\Rightarrow - 2 w = 2$

$\text{divide both sides by } - 2$

$\frac{\cancel{- 2} w}{\cancel{- 2}} = \frac{2}{- 2}$

$\Rightarrow w = - 1$

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

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

$\text{left } = \left(- 6 \times - 1\right) - 19 = 6 - 19 = - 13$

$\text{right } = \left(- 4 \times - 1\right) - 17 = 4 - 17 = - 13$

$\Rightarrow w = - 1 \text{ is the solution}$