What is the answer to 2/(x-1)+3=0 ?

The answer to 2/(x-1)+3=0 is x= 1/3

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2/(x-1)+3=0

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Multiply both sides by

x - 1

2 + 3 (x - 1) = 0

Move

2

to the right side

3 (x - 1) = - 2

Divide both sides by

3

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

Move

1

to the right side

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{1}{3}

1 - \frac{3}{x} = \frac{4}{5}

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

1 + \frac{1}{x} = 10

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

\frac{24}{x} = - \frac{8}{3}