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

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

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1/(x-1)+1=2

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

x = 2

Solution steps

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

Move

1

to the right side

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

Multiply both sides by

x - 1

1 = x - 1

Switch sides

x - 1 = 1

Move

1

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2

11 = \frac{5.5}{x}

\frac{20}{5 x} = 2

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

\frac{1}{x + 4} = 0

\frac{80 - n}{n} = \frac{7}{9}