What is the answer to 3/(x-2)= 5/(9x) ?

The answer to 3/(x-2)= 5/(9x) is x=-5/11

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3/(x-2)= 5/(9x)

\frac{3}{x - 2} = \frac{5}{9 x}

x = - \frac{5}{11}

Solution steps

\frac{3}{x - 2} = \frac{5}{9 x}

Cross multiply

27 x = 5 x - 10

Move

5 x

to the left side

22 x = - 10

Divide both sides by

22

x = - \frac{5}{11}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 0

Combine undefined points with solutions:

x = - \frac{5}{11}

77200 = \frac{200000}{2 ( 1 + x )}

\frac{6}{2 x} = 9

\frac{4}{x - 3} + 5 = 2

\frac{- 3}{x - 3} + \frac{2}{x + 7} = 1

x = \frac{y}{y + 4}, y

What is the answer to 3/(x-2)= 5/(9x) ?
The answer to 3/(x-2)= 5/(9x) is x=-5/11
Solve for x: 3/(x-2)= 5/(9x)
The solution is x=-5/11