What is the answer to 8/x = 5/(4x)+1 ?

The answer to 8/x = 5/(4x)+1 is x= 27/4

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8/x = 5/(4x)+1

\frac{8}{x} = \frac{5}{4 x} + 1

x = \frac{27}{4}

Solution steps

\frac{8}{x} = \frac{5}{4 x} + 1

Multiply by LCM

32 = 5 + 4 x

Switch sides

5 + 4 x = 32

Move

5

to the right side

4 x = 27

Divide both sides by

4

x = \frac{27}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{27}{4}

\frac{3}{x} - \frac{2}{x + 2} = 1

\frac{7 x}{x - 5} = \frac{35}{x - 5}

\frac{12}{20} = \frac{3}{x}

x^{3} - \frac{1}{x ^{3}} = 4^{3}

\frac{3 x}{x + 1} = 9 - \frac{3}{x + 1}