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

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

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

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

x = \frac{3}{5}

Solution steps

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

Multiply by LCM

15 = 9 + 10 x

Switch sides

9 + 10 x = 15

Move

9

to the right side

10 x = 6

Divide both sides by

10

x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{5}

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

a + a^{- 1} = 4

p^{- 5} = 16

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

7 x^{2} = \frac{1}{3 x}