What is the answer to (9-x)/x =-4 ?

The answer to (9-x)/x =-4 is x=-3

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(9-x)/x =-4

\frac{9 - x}{x} = - 4

x = - 3

Solution steps

\frac{9 - x}{x} = - 4

Multiply both sides by

x

9 - x = - 4 x

Move

9

to the right side

- x = - 4 x - 9

Move

4 x

to the left side

3 x = - 9

Divide both sides by

3

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 3

\frac{5}{6} = \frac{2 x + 7}{x}

\frac{20}{p} = \frac{2}{10}

x = 2.6 x \cdot (- 5) x^{- 6}

\frac{1}{x} = 0.05 + \frac{1}{4}

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