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

The answer to 1/(x+9)-1= x/(x+9) is x=-4

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

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

x = - 4

Solution steps

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

Multiply both sides by

x + 9

1 - (x + 9) = x

Expand

1 - (x + 9) : - x - 8

- x - 8 = x

Move

8

to the right side

- x = x + 8

Move

x

to the left side

- 2 x = 8

Divide both sides by

- 2

x = - 4

Verify Solutions

Find undefined (singularity) points:

x = - 9

Combine undefined points with solutions:

x = - 4

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

\frac{2}{x} + \frac{5}{3 x} = 5

x + \frac{8}{x} = - 9

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

- \frac{8 x}{x - 5} + 1 = \frac{2}{x - 5}

What is the answer to 1/(x+9)-1= x/(x+9) ?
The answer to 1/(x+9)-1= x/(x+9) is x=-4
Solve for x: 1/(x+9)-1= x/(x+9)
The solution is x=-4