Question

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

Answer 1

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`.