What is the answer to x/(x-9)-3=-5/(x-9) ?

The answer to x/(x-9)-3=-5/(x-9) is x=16

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x/(x-9)-3=-5/(x-9)

\frac{x}{x - 9} - 3 = - \frac{5}{x - 9}

x = 16

Solution steps

\frac{x}{x - 9} - 3 = - \frac{5}{x - 9}

Multiply both sides by

x - 9

x - 3 (x - 9) = - 5

Expand

- 3 (x - 9) : - 3 x + 27

x - 3 x + 27 = - 5

Add similar elements:

x - 3 x = - 2 x

- 2 x + 27 = - 5

Move

27

to the right side

- 2 x = - 32

Divide both sides by

- 2

x = 16

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 16

\frac{6}{5} = \frac{12}{x}

\frac{- 2 x}{x ^{2} + 4} = 0

- \frac{3}{5} = \frac{12}{x}

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

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

What is the answer to x/(x-9)-3=-5/(x-9) ?
The answer to x/(x-9)-3=-5/(x-9) is x=16
Solve for x: x/(x-9)-3=-5/(x-9)
The solution is x=16