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

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

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

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

x = - 1

Solution steps

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

Multiply both sides by

x + 9

10 x + 9 = - 1

Move

9

to the right side

10 x = - 10

Divide both sides by

10

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - 1

\frac{2}{y + 4} - \frac{1}{y - 3} = 0

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

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

\frac{9}{x + 1} - \frac{5}{2} = \frac{4}{3 x + 3}

\frac{2 x - 3}{x + 1} = \frac{x + 6}{x - 2}

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