SOLUTION: can someone plss help me? solve the problem. A certain number is added to the numerator and subtracted from the denominator of 5/8. The new fraction equals the reciprocal of

Question 453606: can someone plss help me?
solve the problem.
A certain number is added to the numerator and subtracted from the denominator of 5/8. The new fraction equals the reciprocal of 5/8. find the number.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x be that number.

The problem translates to the equation:

Start with the given equation.

Cross multiply.

Distribute.

Subtract from both sides.

Add to both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the solution is
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