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

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

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

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

x = 9

Solution steps

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

Multiply both sides by

x - 3

x - 3 (x - 3) = - 9

Expand

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

x - 3 x + 9 = - 9

Add similar elements:

x - 3 x = - 2 x

- 2 x + 9 = - 9

Move

9

to the right side

- 2 x = - 18

Divide both sides by

- 2

x = 9

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 9

\frac{1}{( x + 2 ) ^{2}} - 4 = 0

x, \frac{a x + b}{c x + d} = 2

t, p = \frac{w}{t}

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

\frac{2 x + 1}{x} = \frac{18}{10}

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