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

The answer to 3+2/(3x)= 6/x is x= 16/9

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

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

x = \frac{16}{9}

Solution steps

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

Multiply by LCM

9 x + 2 = 18

Move

2

to the right side

9 x = 16

Divide both sides by

9

x = \frac{16}{9}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{16}{9}

\frac{6}{x} + 1 = 5

\frac{1}{x - 8} = - \frac{1}{x - 9}

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

\frac{6}{k - 1} = \frac{8}{k - 6}

\frac{3}{x} = \frac{9}{8 x} + 3