What is the answer to 3/x+1/4 = 8/x ?

The answer to 3/x+1/4 = 8/x is x=20

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3/x+1/4 = 8/x

\frac{3}{x} + \frac{1}{4} = \frac{8}{x}

x = 20

Solution steps

\frac{3}{x} + \frac{1}{4} = \frac{8}{x}

Multiply by LCM

12 + x = 32

Move

12

to the right side

x = 20

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 20

\frac{x ^{2}}{x ^{2} + 3} = 0

\frac{x - 3}{x} = \frac{7}{10}

\frac{2}{5} = \frac{2 a - 3}{4 a - 5}

3 = \frac{6}{2 x ^{2} - x - 4}

\frac{6}{y - 3} - \frac{6}{y} = - \frac{9}{y}