# How do you simplify 3(x+9)+2(4-x)?

Jul 29, 2016

Use the distributive property and combine like terms.

#### Explanation:

The distributive property states that a(b+c)=a⋅b+a⋅c. Let's use this to simplify the parentheses:

$3 \left(x + 9\right) = 3 \cdot x + 3 \cdot 9 = 3 x + 27$

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

We now have $3 x + 27 + 8 - 2 x$.

Next, we just combine like terms to get our answer, $x + 35$.