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

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

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

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

x = 6, x = 1

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 = 6, x = 1

x = 6, x = 1

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = 6, x = 1

\frac{x}{x + 1} - 4 = - \frac{1}{x + 1}

\frac{5}{x + 1} + \frac{2 x}{3} = 15

\frac{2}{5 x - 2} = \frac{3}{6 x + 1}

\frac{3}{x - 10} = \frac{15}{x + 6}

\frac{z}{z + 15} = \frac{4}{9}