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

Algebra ->  Equations -> SOLUTION: solve for x (1/x) - (x-4/x) = (1/x) + (3/20)      Log On


   

Question 161508: solve for x
(1/x) - (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%2Fx+-+%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.



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


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


-20x%2B100=20%2B3x Combine like terms on the left side.


-20x=20%2B3x-100 Subtract 100 from both sides.


-20x-3x=20-100 Subtract 3x from both sides.


-23x=20-100 Combine like terms on the left side.


-23x=-80 Combine like terms on the right side.


x=%28-80%29%2F%28-23%29 Divide both sides by -23 to isolate x.


x=80%2F23 Reduce.


----------------------------------------------------------------------

Answer:

So the answer is x=80%2F23 which approximates to x=3.478.