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

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

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

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

x = - \frac{2}{11}

Decimal Notation

x = - 0.18181 \dots

Solution steps

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

Cross multiply

27 x - 6 = 5 x - 10

Move

6

to the right side

27 x = 5 x - 4

Move

5 x

to the left side

22 x = - 4

Divide both sides by

22

x = - \frac{2}{11}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = \frac{2}{9}

Combine undefined points with solutions:

x = - \frac{2}{11}

\frac{12}{x} + \frac{18}{x + 4} = 9

0.6 = \frac{x - 0.05 x - 34}{x}

\frac{x - 7}{x - 9} = \frac{3}{4}

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

\frac{1}{2} = \frac{1}{4 + c}

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