# How do you solve 0.5(2x - 4) = -17?

May 30, 2018

$x = - 15$

#### Explanation:

$\text{distribute the bracket}$

$x - 2 = - 17$

$\text{add 2 to both sides}$

$x \cancel{- 2} \cancel{+ 2} = - 17 + 2$

$x = - 15$

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

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

$0.5 \left(- 30 - 4\right) = 0.5 \times - 34 = - 17$

$x = - 15 \text{ is the solution}$

May 30, 2018

$x = - 15$

#### Explanation:

$0.5 \left(2 x - 4\right) = - 17$

Double both sides

$2 x - 4 = - 34$

$2 x = - 30$
$x = - 15$