SOLUTION: 2/3x-5=x-3

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Question 634878: 2/3x-5=x-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3%29x-5=x-3 Start with the given equation.


3%28%282%2Fcross%283%29%29x-5%29=3%28x-3%29 Multiply both sides by the LCD 3 to clear any fractions.


2x-15=3x-9 Distribute and multiply.


2x=3x-9%2B15 Add 15 to both sides.


2x-3x=-9%2B15 Subtract 3x from both sides.


-x=-9%2B15 Combine like terms on the left side.


-x=6 Combine like terms on the right side.


x=%286%29%2F%28-1%29 Divide both sides by -1 to isolate x.


x=-6 Reduce.


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Answer:

So the solution is x=-6

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