What is the answer to 1/10 = 1/20+1/x ?

The answer to 1/10 = 1/20+1/x is x=20

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1/10 = 1/20+1/x

\frac{1}{10} = \frac{1}{20} + \frac{1}{x}

x = 20

Solution steps

\frac{1}{10} = \frac{1}{20} + \frac{1}{x}

Multiply by LCM

2 x = x + 20

Move

x

to the left side

x = 20

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 20

\frac{1}{6} + \frac{1}{3 x} = \frac{3}{2 x}

- \frac{1}{x ^{2}} = - \frac{1}{5}

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

x - \frac{3 x + 2}{x - 5} = \frac{7}{x - 5}

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