What is the answer to x/(x-1)-6/(1-x)=2 ?

The answer to x/(x-1)-6/(1-x)=2 is x=8

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x/(x-1)-6/(1-x)=2

\frac{x}{x - 1} - \frac{6}{1 - x} = 2

x = 8

Solution steps

\frac{x}{x - 1} - \frac{6}{1 - x} = 2

Multiply by LCM

x (- x + 1) - 6 (x - 1) = 2 (x - 1) (- x + 1)

Solve

x (- x + 1) - 6 (x - 1) = 2 (x - 1) (- x + 1) : x = 8, x = 1

x = 8, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

x = 8

\frac{1}{3 x - 4} = 5

\frac{x ^{10} - m ^{10}}{x ^{2} + m ^{2}}

\frac{x ^{2} + 1}{x} = \frac{4}{3}

x, \frac{2}{x} = 1.32588

\frac{x ^{2}}{x - 6} = \frac{36}{x - 6}

What is the answer to x/(x-1)-6/(1-x)=2 ?
The answer to x/(x-1)-6/(1-x)=2 is x=8
Solve for x: x/(x-1)-6/(1-x)=2
The solution is x=8