SOLUTION: -1/4x+6=2/3x+28

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Question 559814: -1/4x+6=2/3x+28
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-%281%2F4%29x%2B6=%282%2F3%29x%2B28 Start with the given equation.


12%28-%281%2Fcross%284%29%29x%2B6%29=12%28%282%2Fcross%283%29%29x%2B28%29 Multiply both sides by the LCD 12 to clear any fractions.


-3x%2B72=8x%2B336 Distribute and multiply.


-3x=8x%2B336-72 Subtract 72 from both sides.


-3x-8x=336-72 Subtract 8x from both sides.


-11x=336-72 Combine like terms on the left side.


-11x=264 Combine like terms on the right side.


x=%28264%29%2F%28-11%29 Divide both sides by -11 to isolate x.


x=-24 Reduce.


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Answer:

So the solution is x=-24
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