What is the answer to 1/(x-1)-2/7 =3 ?

The answer to 1/(x-1)-2/7 =3 is x= 30/23

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1/(x-1)-2/7 =3

\frac{1}{x - 1} - \frac{2}{7} = 3

x = \frac{30}{23}

Decimal Notation

x = 1.30434 \dots

Solution steps

\frac{1}{x - 1} - \frac{2}{7} = 3

Multiply by LCM

- 2 x + 9 = 21 x - 21

Move

9

to the right side

- 2 x = 21 x - 30

Move

21 x

to the left side

- 23 x = - 30

Divide both sides by

- 23

x = \frac{30}{23}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{30}{23}

\frac{m - 3}{m - 4} = \frac{4}{m - 4}

x, f = \frac{h x + k}{2 x - 3}

- 9 + \frac{x}{x - 6} = \frac{6}{x - 6}

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

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