SOLUTION: solve for x*** (1/10) - (x-4/x) = (1/x) + (3/20)

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Question 161510: solve for x***
(1/10) - (x-4/x) = (1/x) + (3/20)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F10+-+%28x-4%29%2Fx+=+1%2Fx+%2B+3%2F20 Start with the given equation.


Multiply every term by the LCD 20x to clear the fractions.



2x+-+20%28x-4%29+=+20+%2B+3x Multiply and simplify


2x-20x%2B80=20%2B3x Distribute.


-18x%2B80=20%2B3x Combine like terms on the left side.


-18x=20%2B3x-80 Subtract 80 from both sides.


-18x-3x=20-80 Subtract 3x from both sides.


-21x=20-80 Combine like terms on the left side.


-21x=-60 Combine like terms on the right side.


x=%28-60%29%2F%28-21%29 Divide both sides by -21 to isolate x.


x=20%2F7 Reduce.


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Answer:

So the answer is x=20%2F7 which approximates to x=2.857.