What is the answer to (5x-7)/(x-1)=x+1 ?

The answer to (5x-7)/(x-1)=x+1 is x=3,x=2

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(5x-7)/(x-1)=x+1

\frac{5 x - 7}{x - 1} = x + 1

x = 3, x = 2

Solution steps

\frac{5 x - 7}{x - 1} = x + 1

Multiply both sides by

x - 1

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

Solve

5 x - 7 = x (x - 1) + x - 1 : 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{3 - x}{x - 5} = 6

\frac{4}{8} = \frac{2}{x}

\frac{x ^{2} ( x - 3 )}{( x - 1 ) ^{3}} = 0

x^{- 2} + 5 x^{- 1} + 6 = 0

- 4 x + 24 = \frac{8 - 2}{5 ( 10 x - 60 )}

What is the answer to (5x-7)/(x-1)=x+1 ?
The answer to (5x-7)/(x-1)=x+1 is x=3,x=2
Solve for x: (5x-7)/(x-1)=x+1
The solution is x=3,x=2