# How do you use the distributive property to simplify (2+x)5?

Mar 31, 2018

$10 + 5 x$

#### Explanation:

$\text{the multiplier 5 is normally on the left of the parenthesis}$
$\text{but here is on the right. However, the result is the same.}$

$\text{note that "5xx7=7xx5larrcolor(blue)"commutative law}$

$\Rightarrow \left(2 + x\right) 5 = 5 \left(2 + x\right)$

$\Rightarrow \left(2 + x\right) \textcolor{red}{5}$

$= \left(2 \times \textcolor{red}{5}\right) + \left(x \times \textcolor{red}{5}\right)$

$= 10 + 5 x$