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

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

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

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

x = - 1

Solution steps

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

Multiply both sides by

x + 5

x + 10 = - 9 x

Move

10

to the right side

x = - 9 x - 10

Move

9 x

to the left side

10 x = - 10

Divide both sides by

10

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - 1

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

- \frac{4}{x + 6} = \frac{1}{4 x + 24} + 2

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

\frac{60}{w - 5} - \frac{18}{w} = \frac{40}{w}

\frac{6}{x ^{2}} - \frac{43}{x} = 15

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