# Which property can be used to expand the expression -2(3/4x+7)?

Jan 7, 2017

You can use the distributive property - see its application to this expression below

#### Explanation:

To use the distributive property you multiply the term outside the parenthesis ($\textcolor{red}{- 2}$) by each term within the parenthesis to expand the expression:

$\left(\textcolor{red}{- 2} \times \frac{3}{4} x\right) + \left(\textcolor{red}{- 2} \times 7\right) \to$

$\left(- \cancel{\textcolor{red}{2}} \times \frac{3}{\textcolor{red}{\cancel{\textcolor{b l a c k}{4}}} 2} x\right) + \left(\textcolor{red}{- 2} \times 7\right) \to$

$- \frac{3}{2} x + \left(- 14\right) \to$

$- \frac{3}{2} x - 14$