What is the answer to (-1)/(x-1)=1-3/(x+7) ?

The answer to (-1)/(x-1)=1-3/(x+7) is x=-1,x=-3

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(-1)/(x-1)=1-3/(x+7)

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

x = - 1, x = - 3

Solution steps

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

Multiply by LCM

- (x + 7) = (x - 1) (x + 7) - 3 (x - 1)

Solve

- (x + 7) = (x - 1) (x + 7) - 3 (x - 1) : x = - 1, x = - 3

x = - 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 1, x = - 7

Combine undefined points with solutions:

x = - 1, x = - 3

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

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

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

\frac{2}{x} - \frac{9}{x - 4} + 2 = 0

- \frac{2}{4 x} = \frac{5}{3}

What is the answer to (-1)/(x-1)=1-3/(x+7) ?
The answer to (-1)/(x-1)=1-3/(x+7) is x=-1,x=-3
Solve for x: (-1)/(x-1)=1-3/(x+7)
The solution is x=-1,x=-3