What is the answer to 6-(3x)/(x-9)=-6/(x-9) ?

The answer to 6-(3x)/(x-9)=-6/(x-9) is x=16

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6-(3x)/(x-9)=-6/(x-9)

6 - \frac{3 x}{x - 9} = - \frac{6}{x - 9}

x = 16

Solution steps

6 - \frac{3 x}{x - 9} = - \frac{6}{x - 9}

Multiply both sides by

x - 9

6 (x - 9) - 3 x = - 6

Expand

6 (x - 9) - 3 x : 3 x - 54

3 x - 54 = - 6

Move

54

to the right side

3 x = 48

Divide both sides by

3

x = 16

Verify Solutions

Find undefined (singularity) points:

x = 9

Combine undefined points with solutions:

x = 16

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

- \frac{2}{x} - 1 = - \frac{4 x}{x + 2}

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

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

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

What is the answer to 6-(3x)/(x-9)=-6/(x-9) ?
The answer to 6-(3x)/(x-9)=-6/(x-9) is x=16
Solve for x: 6-(3x)/(x-9)=-6/(x-9)
The solution is x=16