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

\frac{t}{t - 4} + 3 = \frac{4}{t - 4}

x + \frac{6}{x - 3} = \frac{2 x}{x - 3}

\frac{5 x - 2}{x + 1} = 0

\frac{4}{3 x + 12} = 0

\frac{3}{5} = \frac{6}{x}