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

The answer to x/(x+9)-5=-5/(x+9) is x=-10

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x/(x+9)-5=-5/(x+9)

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

x = - 10

Solution steps

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

Multiply both sides by

x + 9

x - 5 (x + 9) = - 5

Expand

- 5 (x + 9) : - 5 x - 45

x - 5 x - 45 = - 5

Add similar elements:

x - 5 x = - 4 x

- 4 x - 45 = - 5

Move

45

to the right side

- 4 x = 40

Divide both sides by

- 4

x = - 10

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - 10

x^{2} + x - x^{- 1} = 0

\frac{1}{x} + \frac{1}{x + 4} = 0

\frac{1}{x} = - 2

\frac{1}{x} = 12

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

What is the answer to x/(x+9)-5=-5/(x+9) ?
The answer to x/(x+9)-5=-5/(x+9) is x=-10
Solve for x: x/(x+9)-5=-5/(x+9)
The solution is x=-10