# How do you simplify -2(3x-2)-2x?

Dec 30, 2016

See explanation below:

#### Explanation:

First, expand the term in parenthesis (color(blue)(3x) - color(blue)(2)) by multiplying it by the term outside the parenthesis - $\textcolor{red}{- 2}$. Be careful to manage the signs correctly:

$\left(\textcolor{red}{- 2} \cdot \textcolor{b l u e}{3 x}\right) + \left(\textcolor{red}{- 2} \cdot \textcolor{b l u e}{- 2}\right) - 2 x \to$

$\left(- 6 x\right) + \left(+ 4\right) - 2 x \to - 6 x + 4 - 2 x$

Next group like terms:

$- 6 x - 2 x + 4$

Now, combine like terms:

$\left(- 6 - 2\right) x + 4$

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