What is the answer to 4+(10)/x = 1/3 ?

The answer to 4+(10)/x = 1/3 is x=-30/11

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4+(10)/x = 1/3

4 + \frac{10}{x} = \frac{1}{3}

x = - \frac{30}{11}

Decimal Notation

x = - 2.72727 \dots

Solution steps

4 + \frac{10}{x} = \frac{1}{3}

Multiply by LCM

12 x + 30 = x

Move

30

to the right side

12 x = x - 30

Move

x

to the left side

11 x = - 30

Divide both sides by

11

x = - \frac{30}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{30}{11}

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

\frac{2}{20} = \frac{6}{x}

P = \frac{RT}{mV}, m

\frac{4 x + 39}{3 x} = 5 + \frac{2}{x}

- \frac{6}{c ^{2}} = - \frac{13}{3}