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

The answer to x/(x-2)+1/3 =-2 is x= 7/5

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

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

x = \frac{7}{5}

Solution steps

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

Multiply by LCM

4 x - 2 = - 6 x + 12

Move

2

to the right side

4 x = - 6 x + 14

Move

6 x

to the left side

10 x = 14

Divide both sides by

10

x = \frac{7}{5}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{7}{5}

\frac{4}{x} = \frac{6}{x}

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

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

\frac{2}{x} + \frac{1}{2 x} = 7

m, \frac{r + 5}{mn} = p