What is the answer to 5/x-2= 5/4 ?

The answer to 5/x-2= 5/4 is x= 20/13

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5/x-2= 5/4

\frac{5}{x} - 2 = \frac{5}{4}

x = \frac{20}{13}

Decimal Notation

x = 1.53846 \dots

Solution steps

\frac{5}{x} - 2 = \frac{5}{4}

Multiply by LCM

20 - 8 x = 5 x

Move

20

to the right side

- 8 x = 5 x - 20

Move

5 x

to the left side

- 13 x = - 20

Divide both sides by

- 13

x = \frac{20}{13}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{20}{13}

\frac{1}{x} + 7 x = - 8

\frac{2}{7} = \frac{10}{t + 5}

0 = \frac{2 x ^{2}}{x ^{2} - 1}

3 x + \frac{54}{2 x + 3} = 18

100 x^{- 4} - 29 x^{- 2} + 1 = 0