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

The answer to (2x+1)/(x-1)=3 is x=4

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

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

x = 4

Solution steps

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

Multiply both sides by

x - 1

2 x + 1 = 3 (x - 1)

Expand

3 (x - 1) : 3 x - 3

2 x + 1 = 3 x - 3

Move

1

to the right side

2 x = 3 x - 4

Move

3 x

to the left side

- x = - 4

Divide both sides by

- 1

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 4

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

3 = \frac{1}{4 s}

2 = \frac{12}{t + 3}

\frac{a}{8 a - 5 + 2 ( a + 1 )} = - 3 (a + 6)

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