What is the answer to 3/x-1/3 =6 ?

The answer to 3/x-1/3 =6 is x= 9/19

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3/x-1/3 =6

\frac{3}{x} - \frac{1}{3} = 6

x = \frac{9}{19}

Decimal Notation

x = 0.47368 \dots

Solution steps

\frac{3}{x} - \frac{1}{3} = 6

Multiply by LCM

9 - x = 18 x

Move

9

to the right side

- x = 18 x - 9

Move

18 x

to the left side

- 19 x = - 9

Divide both sides by

- 19

x = \frac{9}{19}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{19}

\frac{6}{x} + \frac{8}{x + 5} = 3

\frac{a x + b}{c x + d} = 6

\frac{3}{4} = \frac{21}{x}

\frac{4}{x} = \frac{14}{5 x} + 2

x, w = \frac{2 x + 1}{x + 3}