What is the answer to 2/x-2=(12)/(7x) ?

The answer to 2/x-2=(12)/(7x) is x= 1/7

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2/x-2=(12)/(7x)

\frac{2}{x} - 2 = \frac{12}{7 x}

x = \frac{1}{7}

Decimal Notation

x = 0.14285 \dots

Solution steps

\frac{2}{x} - 2 = \frac{12}{7 x}

Multiply by LCM

14 - 14 x = 12

Move

14

to the right side

- 14 x = - 2

Divide both sides by

- 14

x = \frac{1}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{7}

\frac{3}{x} + \frac{2}{x ^{2}} = 2

\frac{- x}{10} = \frac{- 8}{5 x}

\frac{2}{x - 1} = \frac{3}{x}

\frac{5 - 19 x}{8 + x ^{2}} = 0

6 - \frac{5}{w + 2} = - \frac{4}{w - 1}