solving equation


I have a problem with solving this equation i know the answer it shoud be -6 but i can't get it right could anyone please help me ?

2.(x/3 + 1) = x/4 - 1/2
Who is Participating?
I wear a lot of hats...

"The solutions and answers provided on Experts Exchange have been extremely helpful to me over the last few years. I wear a lot of hats - Developer, Database Administrator, Help Desk, etc., so I know a lot of things but not a lot about one thing. Experts Exchange gives me answers from people who do know a lot about one thing, in a easy to use platform." -Todd S.

multiply by 12

Experts Exchange Solution brought to you by

Your issues matter to us.

Facing a tech roadblock? Get the help and guidance you need from experienced professionals who care. Ask your question anytime, anywhere, with no hassle.

Start your 7-day free trial
Just to clarify: By "2/3x" here I mean "2/3*x" or "2x/3".
There is often no one path to the final destination. Here's another path:

2.(x/3 + 1) = x/4 - 1/2

Divide by 2 to both sides to simplify left hand side:
(x/3 + 1) = x/8 - 1/4

Remove parens:
x/3 + 1 = x/8 - 1/4

Subtract 1 to both sides:
x/3  = x/8 - 1/4 - 1

Subtract x/8 to both sides:
x/3 - x/8 =  - 1/4 - 1

Multiply by 24 on both sides to remove denominators on left hand side (Note: chose 24, since 24 = 3*8)
8x - 3x =  24*(-5/4)
5x = 6*(-5)
5x = -30

Divide by 5 on both sides:
x = -6

Here it is using the lowest common demoninator of 12

Original equation
2 (x/3 + 1) = x/4 - 1/2

Divide by lowest common denominator
2(4x/12 + 12/12) = 3x/12 - 6/12

Remove parents by multiplying through the 2 on the left side
8x/12 + 24/12 = 3x/12 - 6/12

Subtract 3x/12  and -24/12
8x/12 - 3x/12 = -6/12 - 24/12

Results of the above calculation
5x/12 = -30/12

Multiply both sides by 12 to remove the denominator

Divide both sides by 5 to get x
It's more than this solution.Get answers and train to solve all your tech problems - anytime, anywhere.Try it for free Edge Out The Competitionfor your dream job with proven skills and certifications.Get started today Stand Outas the employee with proven skills.Start learning today for free Move Your Career Forwardwith certification training in the latest technologies.Start your trial today
Math / Science

From novice to tech pro — start learning today.