What is the answer to x+3/(x-2)=6 ?

The answer to x+3/(x-2)=6 is x=5,x=3

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x+3/(x-2)=6

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

x = 5, x = 3

Solution steps

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

Multiply both sides by

x - 2

x (x - 2) + 3 = 6 (x - 2)

Solve

x (x - 2) + 3 = 6 (x - 2) : x = 5, x = 3

x = 5, x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 5, x = 3

\frac{2}{x} = \frac{5}{100}

1 - \frac{9}{x ^{2}} = 0

\frac{10}{r - 5} = 5

\frac{x + 8}{6 - x} = 13

y - \frac{6}{y} = 5