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

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

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

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

x = 0

Solution steps

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

Multiply both sides by

x - 1

4 x - 1 = - 1

Add

1

to both sides

4 x - 1 + 1 = - 1 + 1

Simplify

4 x = 0

Divide both sides by

4

x = 0

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = 0

\frac{6 x}{x - 1} + 2 = \frac{6}{x ^{2} - x}

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

\frac{1}{3} - \frac{1}{x} = \frac{5}{6}

\frac{3 - x}{9 x - 2} = 1

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

What is the answer to (3x)/(x-1)+1=-1/(x-1) ?
The answer to (3x)/(x-1)+1=-1/(x-1) is x=0
Solve for x: (3x)/(x-1)+1=-1/(x-1)
The solution is x=0