What is the answer to 3/x = 1/3-1/x ?

The answer to 3/x = 1/3-1/x is x=12

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3/x = 1/3-1/x

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

x = 12

Solution steps

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

Multiply by LCM

9 = x - 3

Switch sides

x - 3 = 9

Move

3

to the right side

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 12

1 - \frac{7}{x + 3} = \frac{7}{x ^{2} + 5 x + 6}

\frac{24}{10 + x} + 1 = \frac{24}{10 - x}

\frac{3}{y} - \frac{4}{5} = - \frac{1}{5}

- \frac{1}{5} + \frac{5}{6 x} = - \frac{1}{4 x}

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