What is the answer to 3/(2x+1)= 6/(x-1) ?

The answer to 3/(2x+1)= 6/(x-1) is x=-1

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3/(2x+1)= 6/(x-1)

\frac{3}{2 x + 1} = \frac{6}{x - 1}

x = - 1

Solution steps

\frac{3}{2 x + 1} = \frac{6}{x - 1}

Cross multiply

3 x - 3 = 12 x + 6

Move

3

to the right side

3 x = 12 x + 9

Move

12 x

to the left side

- 9 x = 9

Divide both sides by

- 9

x = - 1

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - 1

1 - \frac{2}{3 y} = \frac{6}{15}

y, x = \frac{3 y + 1}{y - 4}

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

\frac{x - 4}{4 x + 8} = \frac{1}{2}

4 + x = x^{2} - \frac{x ^{2} - 16}{x - 4}

What is the answer to 3/(2x+1)= 6/(x-1) ?
The answer to 3/(2x+1)= 6/(x-1) is x=-1
Solve for x: 3/(2x+1)= 6/(x-1)
The solution is x=-1