What is the answer to 5/x-1/3 = 1/x ?

The answer to 5/x-1/3 = 1/x is x=12

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5/x-1/3 = 1/x

\frac{5}{x} - \frac{1}{3} = \frac{1}{x}

x = 12

Solution steps

\frac{5}{x} - \frac{1}{3} = \frac{1}{x}

Multiply by LCM

15 - x = 3

Move

15

to the right side

- x = - 12

Divide both sides by

- 1

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 12

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

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

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

x - \frac{7}{x + 8} = 2 x

- 3 - \frac{x}{x + 8} = \frac{8}{x + 8}