What is the answer to 3/x-1/3 = 1/6 ?

The answer to 3/x-1/3 = 1/6 is x=6

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3/x-1/3 = 1/6

\frac{3}{x} - \frac{1}{3} = \frac{1}{6}

x = 6

Solution steps

\frac{3}{x} - \frac{1}{3} = \frac{1}{6}

Multiply by LCM

18 - 2 x = x

Move

18

to the right side

- 2 x = x - 18

Move

x

to the left side

- 3 x = - 18

Divide both sides by

- 3

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6

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

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

- \frac{4}{x ^{2}} + \frac{1}{2} = 0

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

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