What is the answer to 8-1/(3x)=16 ?

The answer to 8-1/(3x)=16 is x=-1/24

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8-1/(3x)=16

8 - \frac{1}{3 x} = 16

x = - \frac{1}{24}

Decimal Notation

x = - 0.04166 \dots

Solution steps

8 - \frac{1}{3 x} = 16

Move

8

to the right side

- \frac{1}{3 x} = 8

Multiply both sides by

x

- \frac{1}{3} = 8 x

Switch sides

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

Divide both sides by

8

x = - \frac{1}{24}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{24}

\frac{4}{9} = \frac{1}{x}

\frac{x}{3} + \frac{18}{x} + 5 = 0

\frac{3.4}{x} = \frac{2.17}{7.7}

5 (\frac{x}{2900 + x}) = 0.2

\frac{2}{3} = \frac{6}{x}