SOLUTION: x-a=-x+a+4b. Can this equation be broken down more?

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Question 179502: x-a=-x+a+4b. Can this equation be broken down more?
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(21612) About Me  (Show Source):
You can put this solution on YOUR website!
x-a=-x+a+4b. Can this equation be broken down more?
Add x
2x-a = a+4b
Add a
2x = 2a+4b
Divide by 2
x = a+2b

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that you want to solve for "x".


x-a=-x%2Ba%2B4b Start with the given equation.


x=-x%2Ba%2B4b%2Ba Add a to both sides.


x%2Bx=a%2B4b%2Ba Add x to both sides.


2x=a%2B4b%2Ba Combine like terms on the left side.


2x=2a%2B4b Combine like terms on the right side.


x=%282a%2B4b%29%2F%282%29 Divide both sides by 2 to isolate x.


x=%282%28a%2B2b%29%29%2F%282%29 Factor out the GCF 2


x=%28cross%282%29%28a%2B2b%29%29%2Fcross%282%29 Cancel out like terms.


x=a%2B2b


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Answer:

So the answer is x=a%2B2b