SOLUTION: 5x-1/2-x-2/5=8x+11/6

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Question 195523: 5x-1/2-x-2/5=8x+11/6
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that the equation is 5x-1%2F2-x-2%2F5=8x%2B11%2F6????



5x-1%2F2-x-2%2F5=8x%2B11%2F6 Start with the given equation.


Multiply EVERY term by the LCD 30 to clear any fractions.


150x-15-30x-12=240x%2B55 Multiply.


120x-27=240x%2B55 Combine like terms on the left side.


120x=240x%2B55%2B27 Add 27 to both sides.


120x-240x=55%2B27 Subtract 240x from both sides.


-120x=55%2B27 Combine like terms on the left side.


-120x=82 Combine like terms on the right side.


x=%2882%29%2F%28-120%29 Divide both sides by -120 to isolate x.


x=-41%2F60 Reduce.


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Answer:

So the answer is x=-41%2F60 which approximates to x=-0.683.