Question

What is the solution to the equation 3x + 2(x − 9) = 8x + x + 2?
-16
-5
5
16

Answer 1

3x+2(x-9)=8x+x+2
3x+2x-18=9x+2
5x-18=9x+2
-18=4x+2
-20=4x
x=-5

Final answer: -5

Answer 2

Hey!

First, let's write the problem,

`3x+2\left(x-9\right)=8x+x+2`
Add like terms before using the distributive property.

`3x+2\left(x-9\right)=9x+2`
Apply distributive property.

`3x+2x-18=9x+2`
Add like terms.

`5x-18=9x+2`
Add 18 to both sides.

`5x-18+18=9x+2+18`

`5x=9x+20`
Subtract 9x from both sides.

`5x-9x=9x+20-9x`

`-4x=20`
Divide both sides by -4.

`(-4x)/(-4)=(20)/(-4)`

Our final answer would be,

`x=-5`

Thanks!
-TetraFish