SOLUTION: 2(x+6)= x -5 _____ 3 or 2(x+6)/3= x-5 Could someone show me how to work this out on paper

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: 2(x+6)= x -5 _____ 3 or 2(x+6)/3= x-5 Could someone show me how to work this out on paper       Log On


   

Question 188167This question is from textbook
: 2(x+6)= x -5
_____
3
or 2(x+6)/3= x-5
Could someone show me how to work this out on paper
This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2%28x%2B6%29%2F3=x-5 Start with the given equation.


2%28x%2B6%29=3%28x-5%29 Multiply both sides by 3.


2x%2B12=3x-15 Distribute.


2x=3x-15-12 Subtract 12 from both sides.


2x-3x=-15-12 Subtract 3x from both sides.


-x=-15-12 Combine like terms on the left side.


-x=-27 Combine like terms on the right side.


x=%28-27%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=27 Reduce.


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Answer:

So the answer is x=27