SOLUTION: solve 2a+(2/3)=a-(1/3)

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Question 547896: solve 2a+(2/3)=a-(1/3)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2a%2B2%2F3=a-1%2F3 Start with the given equation.


3%282a%2B2%2Fcross%283%29%29=3%28a-1%2Fcross%283%29%29 Multiply both sides by the LCD 3 to clear any fractions.


6a%2B2=3a-1 Distribute and multiply.


6a=3a-1-2 Subtract 2 from both sides.


6a-3a=-1-2 Subtract 3a from both sides.


3a=-1-2 Combine like terms on the left side.


3a=-3 Combine like terms on the right side.


a=%28-3%29%2F%283%29 Divide both sides by 3 to isolate a.


a=-1 Reduce.


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Answer:

So the solution is a=-1