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

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

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

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

x = 1, x = - 2

Solution steps

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

Multiply both sides by

x + 1

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

Solve

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

x = 1, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 1, x = - 2

- \frac{2}{x} = 0

\frac{6}{y - 3} - \frac{6}{y} = \frac{- 9}{y}

\frac{3 x + 1}{5 x + 7} = \frac{6 x + 11}{10 x - 3}

x, m = \frac{y ^{2} - y ^{1}}{x ^{2} - x ^{1}}

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