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

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Answer 1 · 2016-07-29T13:58:16

Use the distributive property and combine like terms.

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

$3(x+9)=3*x+3*9=3x+27$

$2(4-x)=2*4+2*-x=8-2x$

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

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

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