What is the answer to 1/(x-7)=-8 ?

The answer to 1/(x-7)=-8 is x= 55/8

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1/(x-7)=-8

\frac{1}{x - 7} = - 8

x = \frac{55}{8}

Decimal Notation

x = 6.875

Solution steps

\frac{1}{x - 7} = - 8

Multiply both sides by

x - 7

1 = - 8 (x - 7)

Switch sides

- 8 (x - 7) = 1

Divide both sides by

- 8

x - 7 = - \frac{1}{8}

Move

7

to the right side

x = \frac{55}{8}

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = \frac{55}{8}

(x + \frac{1}{x})^{2} = 3^{2}

\frac{3 ( 7 x + 13 )}{12 x + 15} = 2

\frac{24}{3 + 2 x - 8} = 27 + 13

4 + \frac{6}{x - 5} = \frac{2}{x - 5}

\frac{- 4}{x - 4} = 1 - \frac{2}{x + 8}