What is the answer to x/(x-84)=-1/5 ?

The answer to x/(x-84)=-1/5 is x=14

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x/(x-84)=-1/5

\frac{x}{x - 84} = - \frac{1}{5}

x = 14

Solution steps

\frac{x}{x - 84} = - \frac{1}{5}

Cross multiply

x \cdot 5 = - x + 84

Move

x

to the left side

6 x = 84

Divide both sides by

6

x = 14

Verify Solutions

Find undefined (singularity) points:

x = 84

Combine undefined points with solutions:

x = 14

\frac{2 - x}{2 x - 9} = \frac{1}{3}

\frac{625}{p ^{3}} = 5

P = \frac{R - C}{N} (R)

v, \frac{s}{v e} - 0 = L

\frac{7}{2 x - 5} = \frac{4}{x + 5}