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

May 12, 2018

$13 x + 16$

#### Explanation:

First, distribute the negative sign in $\textcolor{b l u e}{- \left(2 x - 4\right)}$:
$\textcolor{b l u e}{- \left(2 x - 4\right) = - 2 x + 4}$

Put it back into the expression:
$7 x + 4 - 2 x + 4 + 8 x + 8$

Now let's color-code the like terms:
$\quad \textcolor{red}{7 x} \quad \textcolor{b l u e}{+ \quad 4} \quad \textcolor{red}{- \quad 2 x} \quad \textcolor{b l u e}{+ \quad 4} \quad \textcolor{red}{+ \quad 8 x} \quad \textcolor{b l u e}{+ \quad 8}$

Combine like terms and get the final answer:
$13 x + 16$

Hope this helps!