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

The answer to x-1/(x-1)= 5/(x-1) is x=3,x=-2

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

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

x = 3, x = - 2

Solution steps

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

Multiply both sides by

x - 1

x (x - 1) - 1 = 5

Solve

x (x - 1) - 1 = 5 : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 3, x = - 2

\frac{r - 4}{3 r} = \frac{1}{5 r} + 1

\frac{7}{x} = \frac{2}{3}

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

\frac{3}{( 1 - n )} = 5

\frac{4 x}{x + 6} - 1 = \frac{9}{x + 6}

What is the answer to x-1/(x-1)= 5/(x-1) ?
The answer to x-1/(x-1)= 5/(x-1) is x=3,x=-2
Solve for x: x-1/(x-1)= 5/(x-1)
The solution is x=3,x=-2