What is the answer to 0=1-1/(x-2) ?

The answer to 0=1-1/(x-2) is x=3

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0=1-1/(x-2)

0 = 1 - \frac{1}{x - 2}

x = 3

Solution steps

0 = 1 - \frac{1}{x - 2}

Move

1

to the left side

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

Multiply both sides by

x - 2

- (x - 2) = - 1

Divide both sides by

- 1

x - 2 = 1

Move

2

to the right side

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 3

2 x - \frac{12}{2 - x} = 7 + \frac{11 x + 11}{9}

\frac{7}{x + 4} - \frac{1}{x} = \frac{8}{15}

\frac{2 x}{x - 2} - 2 = \frac{- 4}{2 - x}

\frac{6}{m} + 2 = \frac{m + 3}{m - 1}

x - \frac{3}{x - 9} = \frac{7}{x - 9}