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

The answer to 3/x-1/3 =-6 is x=-9/17

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3/x-1/3 =-6

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

x = - \frac{9}{17}

Decimal Notation

x = - 0.52941 \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

17 x = - 9

Divide both sides by

17

x = - \frac{9}{17}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{9}{17}

\frac{- 2}{x - 2} + \frac{1}{x + 4} = 1

\frac{x}{8} = \frac{8}{x}

\frac{f}{5 n ^{3}} + h = g

\frac{5}{x} = \frac{5}{6 x} - 3

a + \frac{10}{a} = 7