What is the answer to (-1)/(x-1)=1-2/(x+5) ?

The answer to (-1)/(x-1)=1-2/(x+5) is x=-1,x=-2

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(-1)/(x-1)=1-2/(x+5)

\frac{- 1}{x - 1} = 1 - \frac{2}{x + 5}

x = - 1, x = - 2

Solution steps

\frac{- 1}{x - 1} = 1 - \frac{2}{x + 5}

Multiply by LCM

- (x + 5) = (x - 1) (x + 5) - 2 (x - 1)

Solve

- (x + 5) = (x - 1) (x + 5) - 2 (x - 1) : x = - 1, x = - 2

x = - 1, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 5

Combine undefined points with solutions:

x = - 1, x = - 2

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

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

\frac{12}{x + 3} + \frac{x}{x - 3} = 4

\frac{11}{8} = \frac{3}{j}

\frac{1}{c} = 1

What is the answer to (-1)/(x-1)=1-2/(x+5) ?
The answer to (-1)/(x-1)=1-2/(x+5) is x=-1,x=-2
Solve for x: (-1)/(x-1)=1-2/(x+5)
The solution is x=-1,x=-2