What is the answer to -7+9/(x-9)=-x/(x-9) ?

The answer to -7+9/(x-9)=-x/(x-9) is x=12

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-7+9/(x-9)=-x/(x-9)

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

x = 12

Solution steps

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

Multiply both sides by

x - 9

- 7 (x - 9) + 9 = - x

Expand

- 7 (x - 9) + 9 : - 7 x + 72

- 7 x + 72 = - x

Move

72

to the right side

- 7 x = - x - 72

Move

x

to the left side

- 6 x = - 72

Divide both sides by

- 6

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 12

x^{- 2} - 3 x^{- 1} - 4 = 0

a, \frac{n}{q} = \frac{b}{a}

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

\frac{1}{x + 7} + \frac{1}{x - 3} = 0

\frac{6}{x - 14} = \frac{8}{2}

What is the answer to -7+9/(x-9)=-x/(x-9) ?
The answer to -7+9/(x-9)=-x/(x-9) is x=12
Solve for x: -7+9/(x-9)=-x/(x-9)
The solution is x=12