What is the answer to x+(2x)/(x-9)=2 ?

The answer to x+(2x)/(x-9)=2 is x=6,x=3

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x+(2x)/(x-9)=2

x + \frac{2 x}{x - 9} = 2

x = 6, x = 3

Solution steps

x + \frac{2 x}{x - 9} = 2

Multiply both sides by

x - 9

x (x - 9) + 2 x = 2 (x - 9)

Solve

x (x - 9) + 2 x = 2 (x - 9) : x = 6, x = 3

x = 6, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 6, x = 3

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

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

x, \frac{( x + m )}{x - 3} = m

\frac{7 x - 2}{x ^{2} + 10} = 1

\frac{x + 3}{8} = \frac{9}{x - 3}