Homework Help

How would you solve for x when you have the problem: 2(x+1)=6(x-3).

user profile pic

taylor-winston | eNoter

Posted May 5, 2013 at 12:21 AM via iOS

dislike 0 like

How would you solve for x when you have the problem: 2(x+1)=6(x-3).

Tagged with algebra, equation, math, pronumerals, solve, x

1 Answer | Add Yours

user profile pic

violy | High School Teacher | (Level 3) Assistant Educator

Posted May 5, 2013 at 12:32 AM (Answer #1)

dislike 1 like

We use Distributive property on both sides. a(b + c) = a*b + a*c. 

`2*x + 2*1 = 6*x + 6*-3`

`2x + 2 = 6x - 18`

Put all the terms with "x" on left side, and all the other terms on right side. 

Subtract both sides by 6x.

`2x - 6x + 2 = -18`

Combine like terms. 

`-4x + 2 = -18`

Subtract both sides by 2.

`-4x = -20`

Divide both sides by -4.

`x = 5`

THerefore, x = 5.

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes