What is the answer to 1/7-1/2 = 1/x ?

The answer to 1/7-1/2 = 1/x is x=-14/5

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1/7-1/2 = 1/x

\frac{1}{7} - \frac{1}{2} = \frac{1}{x}

x = - \frac{14}{5}

Decimal Notation

x = - 2.8

Solution steps

\frac{1}{7} - \frac{1}{2} = \frac{1}{x}

Multiply both sides by

x

- \frac{5}{14} x = 1

Multiply both sides by

14

- 5 x = 14

Divide both sides by

- 5

x = - \frac{14}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{14}{5}

\frac{4}{x ^{2}} = 0

\frac{x}{x - 2} - \frac{3 x - 8}{x ^{2} - 5 x + 6} = 0

6 - x = \frac{8}{x}

\frac{3}{x + 1} = \frac{9}{x ^{2} - 3 x - 4}

\frac{r}{6} + \frac{r - 1}{r} = \frac{7}{6}