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

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

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

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

x = - 6

Solution steps

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

Cross multiply

3 x + 2 = 2 x - 4

Move

2

to the right side

3 x = 2 x - 6

Move

2 x

to the left side

x = - 6

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = - 6

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

\frac{2 x}{x + 4} = 9 - \frac{8}{x + 4}

k, y = \frac{1}{k}

\frac{3 x - 2}{x - 5} = (x + 5)

c = \frac{1}{2 m ( s + k )}

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