What is the answer to 1/(x+2)= 5/x ?

The answer to 1/(x+2)= 5/x is x=-5/2

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1/(x+2)= 5/x

\frac{1}{x + 2} = \frac{5}{x}

x = - \frac{5}{2}

Decimal Notation

x = - 2.5

Solution steps

\frac{1}{x + 2} = \frac{5}{x}

Cross multiply

x = 5 x + 10

Move

5 x

to the left side

- 4 x = 10

Divide both sides by

- 4

x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = - \frac{5}{2}

\frac{12}{x} = \frac{30}{6}

\frac{8}{x + 3} + \frac{10}{x} = 3

\frac{5}{4 x} + \frac{1}{x} = 3

\frac{x ^{2} - 5 x + 4}{8 - x} = 5

\frac{x ^{2} - 4}{x + 3} = - 12