# How do you simplify 8 (x +2) - 4x + 7?

$8 \left(x + 2\right) - 4 x + 7$
$= 8 x + 16 - 4 x + 7$
$= 4 x + 23$

Jun 21, 2018

$4 x + 23$

#### Explanation:

Given: $8 \left(x + 2\right) = 4 x + 7$

Consider just the part $8 \left(x + 2\right)$

This is the same as $\left(x + 2\right) + \left(x + 2\right) + \left(x + 2\right) + \ldots + \left(x + 2\right)$

You have 8 lots of $\left(x + 2\right)$ so basically you multiply everything inside the brackets by 8 giving: $8 x + 16$

Putting it all together:

$8 x + 16 - 4 x + 7$

Collecting like terms

$\underbrace{8 x - 4 x} + \underbrace{16 + 7}$

$\textcolor{w h i t e}{\text{dd")4xcolor(white)("dd")+color(white)("dd}} 23$