What is the answer to 1/3-1/x = 5/6 ?

The answer to 1/3-1/x = 5/6 is x=-2

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1/3-1/x = 5/6

\frac{1}{3} - \frac{1}{x} = \frac{5}{6}

x = - 2

Solution steps

\frac{1}{3} - \frac{1}{x} = \frac{5}{6}

Multiply by LCM

2 x - 6 = 5 x

Move

6

to the right side

2 x = 5 x + 6

Move

5 x

to the left side

- 3 x = 6

Divide both sides by

- 3

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 2

\frac{3 - x}{9 x - 2} = 1

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

\frac{3}{x - 5} = 6

\frac{x ^{2} - 3 x - 4}{x + 1} = 0

\frac{x}{2} - 3 + \frac{4}{x} = 0