What is the answer to -9+1/(x+9)=-x/(x+9) ?

The answer to -9+1/(x+9)=-x/(x+9) is x=-10

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-9+1/(x+9)=-x/(x+9)

- 9 + \frac{1}{x + 9} = - \frac{x}{x + 9}

x = - 10

Solution steps

- 9 + \frac{1}{x + 9} = - \frac{x}{x + 9}

Multiply both sides by

x + 9

- 9 (x + 9) + 1 = - x

Expand

- 9 (x + 9) + 1 : - 9 x - 80

- 9 x - 80 = - x

Move

80

to the right side

- 9 x = - x + 80

Move

x

to the left side

- 8 x = 80

Divide both sides by

- 8

x = - 10

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - 10

\frac{1}{x - 1} + 7 = \frac{x}{x - 1}

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

\frac{1}{2 x} - \frac{4}{x} = \frac{5}{2}

\frac{6}{3 x} + \frac{5}{4} = \frac{3}{x}

3 x^{2} - 3 x^{- 4} = 0

What is the answer to -9+1/(x+9)=-x/(x+9) ?
The answer to -9+1/(x+9)=-x/(x+9) is x=-10
Solve for x: -9+1/(x+9)=-x/(x+9)
The solution is x=-10