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

The answer to 2/x+1+1/x-1=1 is x=3

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2/x+1+1/x-1=1

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

x = 3

Solution steps

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

Subtract

1

from both sides

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

Simplify

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

Multiply both sides by

x

- x + 3 = 0

Move

3

to the right side

- x = - 3

Divide both sides by

- 1

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3

\frac{3}{x ^{2}} - \frac{44}{x} = 15

\frac{5}{2 x - 2} = \frac{15}{x ^{2} - 1}

\frac{11}{x - 2} = \frac{11}{2}

\frac{( 2 x e ^{3} + 6 )}{( x + 7 )} = x

\frac{6}{x ^{2}} - \frac{37}{x} = 13