What is the answer to 2-1/(7x)= 10/7 ?

The answer to 2-1/(7x)= 10/7 is x= 1/4

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2-1/(7x)= 10/7

2 - \frac{1}{7 x} = \frac{10}{7}

x = \frac{1}{4}

Decimal Notation

x = 0.25

Solution steps

2 - \frac{1}{7 x} = \frac{10}{7}

Multiply by LCM

14 x - 1 = 10 x

Move

1

to the right side

14 x = 10 x + 1

Move

10 x

to the left side

4 x = 1

Divide both sides by

4

x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}

\frac{x}{2 x + 7} = \frac{x - 5}{x - 1}

\frac{x - 4}{3 x + 2} = \frac{3}{7}

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

\frac{15}{x - 1} = \frac{19}{x + 4}

\frac{3}{2 x - 1} = \frac{- 3}{5}