What is the answer to -9/(x+9)-1=(5x)/(x+9) ?

The answer to -9/(x+9)-1=(5x)/(x+9) is x=-3

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-9/(x+9)-1=(5x)/(x+9)

- \frac{9}{x + 9} - 1 = \frac{5 x}{x + 9}

x = - 3

Solution steps

- \frac{9}{x + 9} - 1 = \frac{5 x}{x + 9}

Multiply both sides by

x + 9

- 9 - (x + 9) = 5 x

Expand

- 9 - (x + 9) : - x - 18

- x - 18 = 5 x

Move

18

to the right side

- x = 5 x + 18

Move

5 x

to the left side

- 6 x = 18

Divide both sides by

- 6

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - 3

\frac{1}{x - 7} - 1 = - \frac{9 x}{x - 7}

\frac{x - 6}{x - 13} = - 6

\frac{40}{x - 2} - \frac{40}{x} - 1 = 0

\frac{3}{x + 1} + \frac{2}{7} = 2

\frac{3}{x - 19} = \frac{19}{x - 3}

What is the answer to -9/(x+9)-1=(5x)/(x+9) ?
The answer to -9/(x+9)-1=(5x)/(x+9) is x=-3
Solve for x: -9/(x+9)-1=(5x)/(x+9)
The solution is x=-3