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

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

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

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

x = 2, x = - 3

Solution steps

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

Multiply by LCM

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

Solve

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

x = 2, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 2

Combine undefined points with solutions:

x = 2, x = - 3

\frac{7 x}{x - 5} = \frac{35}{x - 5}

\frac{12}{20} = \frac{3}{x}

x^{3} - \frac{1}{x ^{3}} = 4^{3}

\frac{3 x}{x + 1} = 9 - \frac{3}{x + 1}

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