SOLUTION: ((3x+2)/4)=(9/4)-((3-2x)/6)

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Question 196882: ((3x+2)/4)=(9/4)-((3-2x)/6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%2B2%29%2F4=9%2F4-%283-2x%29%2F6 Start with the given equation.


Multiply EVERY term by the LCD 12 to clear out the fractions.


3%283x%2B2%29=3%289%29-2%283-2x%29 Simplify


3%283x%2B2%29=27-2%283-2x%29 Multiply


9x%2B6=27-6%2B4x Distribute.


9x%2B6=4x%2B21 Combine like terms on the right side.


9x=4x%2B21-6 Subtract 6 from both sides.


9x-4x=21-6 Subtract 4x from both sides.


5x=21-6 Combine like terms on the left side.


5x=15 Combine like terms on the right side.


x=%2815%29%2F%285%29 Divide both sides by 5 to isolate x.


x=3 Reduce.


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Answer:

So the solution is x=3