# How do you use the distributive property to simplify 3(x+2)?

Mar 8, 2018

$3 \left(x + 2\right)$

Distribute and multiply $3$ to $x$ and $2$ to get

$3 x + 6$

Mar 8, 2018

The distributive property states that, given a quantity $a \left(b + c\right)$, it can be simplified to $a b + a c$

#### Explanation:

Let's apply this to our problem here:

$3 \left(x + 2\right)$ = $\left(3\right) \left(x\right) + \left(3\right) \left(2\right)$
$\left(3 x\right) + \left(6\right)$ = $3 x + 6$

Our answer is $3 x + 6$.