What is the answer to 6/x+16= 2/(3x) ?

The answer to 6/x+16= 2/(3x) is x=-1/3

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6/x+16= 2/(3x)

\frac{6}{x} + 16 = \frac{2}{3 x}

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

\frac{6}{x} + 16 = \frac{2}{3 x}

Multiply by LCM

18 + 48 x = 2

Move

18

to the right side

48 x = - 16

Divide both sides by

48

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{3}

\frac{1}{x} + \frac{8}{x - 2} = 0

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

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

\frac{10}{x} = 9

x, y = 9 z + 2 \frac{b}{x}