What is the answer to -1/(x-4)=8 ?

The answer to -1/(x-4)=8 is x= 31/8

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-1/(x-4)=8

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

x = \frac{31}{8}

Solution steps

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

Multiply both sides by

x - 4

- 1 = 8 (x - 4)

Switch sides

8 (x - 4) = - 1

Divide both sides by

8

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

Move

4

to the right side

x = \frac{31}{8}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{31}{8}

\frac{4}{x} = \frac{16}{4}

\frac{100}{x} = \frac{30}{28.25}

b \cdot (\frac{4}{b}) = 4, b, = 0

0.5 = \frac{100 x}{100 + x}

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