What is the answer to 5/(x+9)=-2 ?

The answer to 5/(x+9)=-2 is x=-23/2

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5/(x+9)=-2

\frac{5}{x + 9} = - 2

x = - \frac{23}{2}

Decimal Notation

x = - 11.5

Solution steps

\frac{5}{x + 9} = - 2

Multiply both sides by

x + 9

5 = - 2 (x + 9)

Switch sides

- 2 (x + 9) = 5

Divide both sides by

- 2

x + 9 = - \frac{5}{2}

Move

9

to the right side

x = - \frac{23}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - \frac{23}{2}

f, \frac{1}{f} = \frac{1}{p} + \frac{1}{q}

\frac{280}{x + 2} = 20 + \frac{5 x}{2}

- \frac{7}{x - 2} - 2 = - \frac{x}{x - 2}

2 = \frac{18}{2 c}

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