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

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

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

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

x = 1, x = - 3

Solution steps

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

Multiply by LCM

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

Solve

3 (x + 2) - 3 x = 2 x (x + 2) : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 1, x = - 3

\frac{3}{x + 9} = \frac{7}{x + 4}

\frac{5 x}{x ^{2} + 9} = - 1

\frac{25}{f + 2} = \frac{5}{3}

\frac{7}{x + 4} = 4 + \frac{5}{x - 2}

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