What is the answer to (x+3)/(x-1)=2x+1 ?

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

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(x+3)/(x-1)=2x+1

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

x = 2, x = - 1

Solution steps

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

Multiply both sides by

x - 1

x + 3 = 2 x (x - 1) + x - 1

Solve

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

x = 2, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 2, x = - 1

2 - \frac{8}{x} = 26

x, \frac{1}{x} = \frac{1}{y} + \frac{1}{z}

3 x^{2} - \frac{24}{x} = 0

\frac{11}{x + 4} = \frac{6}{x - 2}

\frac{3}{8} = \frac{15}{5 x - 2}

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