What is the answer to 10+(1/x-2)=20 ?

The answer to 10+(1/x-2)=20 is x= 1/12

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10+(1/x-2)=20

10 + (\frac{1}{x} - 2) = 20

x = \frac{1}{12}

Decimal Notation

x = 0.08333 \dots

Solution steps

10 + (\frac{1}{x} - 2) = 20

Move

10

to the right side

\frac{1}{x} - 2 = 10

Multiply both sides by

x

1 - 2 x = 10 x

Move

1

to the right side

- 2 x = 10 x - 1

Move

10 x

to the left side

- 12 x = - 1

Divide both sides by

- 12

x = \frac{1}{12}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{12}

4 = \frac{9.6}{x}

\frac{40}{x - 2} - \frac{40}{x} = 1

99.99 (\frac{x}{10 + x}) = 0.825

\frac{1}{2} m = \frac{m}{2 m}

\frac{2}{x} = \frac{8}{5 x} + 2