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

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Question 644392: 1/2x + 6 =3/4-2x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29x%2B6=3%2F4-2x Start with the given equation.


4%28%281%2Fcross%282%29%29x%2B6%29=4%283%2Fcross%284%29-2x%29 Multiply both sides by the LCD 4 to clear any fractions.


2x%2B24=3-8x Distribute and multiply.


2x=3-8x-24 Subtract 24 from both sides.


2x%2B8x=3-24 Add 8x to both sides.


10x=3-24 Combine like terms on the left side.


10x=-21 Combine like terms on the right side.


x=%28-21%29%2F%2810%29 Divide both sides by 10 to isolate x.


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Answer:

So the solution is x=-21%2F10