What is the answer to 3/(x-6)= 5/x ?

The answer to 3/(x-6)= 5/x is x=15

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3/(x-6)= 5/x

\frac{3}{x - 6} = \frac{5}{x}

x = 15

Solution steps

\frac{3}{x - 6} = \frac{5}{x}

Cross multiply

3 x = 5 x - 30

Move

5 x

to the left side

- 2 x = - 30

Divide both sides by

- 2

x = 15

Verify Solutions

Find undefined (singularity) points:

x = 6, x = 0

Combine undefined points with solutions:

x = 15

\frac{- 9}{4 x} = \frac{3}{4 x - 16}

5 (1 + 2 m) = \frac{1}{2 ( 8 + 20 m )}

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

\frac{15}{x} = 3

\frac{x}{x - 4} - \frac{8}{4 - x} = 2