What is the answer to -4/x =-1/(x+6) ?

The answer to -4/x =-1/(x+6) is x=-8

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-4/x =-1/(x+6)

- \frac{4}{x} = - \frac{1}{x + 6}

x = - 8

Solution steps

- \frac{4}{x} = - \frac{1}{x + 6}

Cross multiply

- 4 x - 24 = - x

Move

24

to the right side

- 4 x = - x + 24

Move

x

to the left side

- 3 x = 24

Divide both sides by

- 3

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 0, x = - 6

Combine undefined points with solutions:

x = - 8

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

\frac{5}{r + 9} = \frac{9}{6}

\frac{2}{x} = \frac{6}{15}

80 = \frac{600}{x}

\frac{6}{n} = \frac{5}{10}