# How do you rewrite the expression (6x+15)div3 in standard form using the distributive property?

Jan 10, 2017

$\frac{1}{3} \left(6 x + 15\right) = 2 x + 5$

#### Explanation:

(6x+15)÷3=1/3(6x+15)

$\text{division by 3 is equivalent to multiplication by } \frac{1}{3}$

$\Rightarrow \frac{6 x + 15}{3} = \frac{6 x}{3} + \frac{15}{3} = 2 x + 5$

$\text{and } \textcolor{red}{\frac{1}{3}} \left(6 x + 15\right)$

$= \left(\textcolor{red}{\frac{1}{3}} \times 6 x\right) + \left(\textcolor{red}{\frac{1}{3}} \times 15\right) = 2 x + 5$