What is the answer to (x-1)/(x+1)-6/(x-1)=1 ?

The answer to (x-1)/(x+1)-6/(x-1)=1 is x=-1/2

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(x-1)/(x+1)-6/(x-1)=1

\frac{x - 1}{x + 1} - \frac{6}{x - 1} = 1

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

\frac{x - 1}{x + 1} - \frac{6}{x - 1} = 1

Multiply by LCM

x^{2} - 8 x - 5 = x^{2} - 1

Move

5

to the right side

x^{2} - 8 x = x^{2} + 4

Move

x^{2}

to the left side

- 8 x = 4

Divide both sides by

- 8

x = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 1, x = 1

Combine undefined points with solutions:

x = - \frac{1}{2}

8 + \frac{20}{x} = \frac{4}{3}

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

\frac{2 x}{x - 2} + \frac{x + 2}{x ^{2} - 4} = 1

\frac{650}{x} - \frac{650}{x + 5} = 6.5

\frac{64}{8 + u} = 30

What is the answer to (x-1)/(x+1)-6/(x-1)=1 ?
The answer to (x-1)/(x+1)-6/(x-1)=1 is x=-1/2
Solve for x: (x-1)/(x+1)-6/(x-1)=1
The solution is x=-1/2