SOLUTION: 2/3x + 1/4 = 11/6x - 1/3

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Question 207481: 2/3x + 1/4 = 11/6x - 1/3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%282%2F3%29x%2B1%2F4=%2811%2F6%29x-1%2F3 Start with the given equation.


Multiply both sides by the LCD 12 to clear any fractions.


8x%2B3=22x-4 Distribute and multiply.


8x=22x-4-3 Subtract 3 from both sides.


8x-22x=-4-3 Subtract 22x from both sides.


-14x=-4-3 Combine like terms on the left side.


-14x=-7 Combine like terms on the right side.


x=%28-7%29%2F%28-14%29 Divide both sides by -14 to isolate x.


x=1%2F2 Reduce.


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Answer:

So the solution is x=1%2F2 which in decimal form is x=0.5.