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

1 Answer
Jul 29, 2016

Answer:

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(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#.