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

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

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

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

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

Decimal Notation

x = - 0.66666 \dots, x = - 1

Solution steps

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

Cross multiply

3 x (x + 2) = x - 2

Solve

3 x (x + 2) = x - 2 : x = - \frac{2}{3}, x = - 1

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

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

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

\frac{5 x + 1}{x + 1} = 4.83

a, y = x \frac{ab}{a - b}

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

\frac{4}{x - 30} + \frac{16}{x} = 48

\frac{3}{x + 5} = 2

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