# How do you multiply  2 - (4x - 8)?

May 28, 2016

 =color(blue)( - 4x + 10

#### Explanation:

$2 - \left(4 x - 8\right)$

$= 2 + \left(- 1\right) \times \left(4 x - 8\right)$

$= 2 + \textcolor{b l u e}{\left(- 1\right)} \times \left(4 x\right) + \textcolor{b l u e}{\left(- 1\right)} \times \left(- 8\right)$

$= 2 - 4 x + 8$

Grouping like terms:

$= \left(2 + 8\right) - 4 x$

$= 10 - 4 x$

 =color(blue)( - 4x + 10