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

The answer to 5/(x+5)-9= x/(x+5) is x=-4

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

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

x = - 4

Solution steps

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

Multiply both sides by

x + 5

5 - 9 (x + 5) = x

Expand

5 - 9 (x + 5) : - 9 x - 40

- 9 x - 40 = x

Move

40

to the right side

- 9 x = x + 40

Move

x

to the left side

- 10 x = 40

Divide both sides by

- 10

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 4

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

\frac{5 + x}{3 x - 4} = \frac{4}{x + 1} + 1

- 1 + \frac{3 x}{x - 5} = \frac{1}{x - 5}

\frac{2 x}{x + 1} + 6 = \frac{2}{x ^{2} + x}

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

What is the answer to 5/(x+5)-9= x/(x+5) ?
The answer to 5/(x+5)-9= x/(x+5) is x=-4
Solve for x: 5/(x+5)-9= x/(x+5)
The solution is x=-4