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

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

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

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

x = 3

Solution steps

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

Multiply both sides by

x - 6

- 3 (x - 6) - 6 = x

Expand

- 3 (x - 6) - 6 : - 3 x + 12

- 3 x + 12 = x

Move

12

to the right side

- 3 x = x - 12

Move

x

to the left side

- 4 x = - 12

Divide both sides by

- 4

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = 3

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

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

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

\frac{2 x - 5}{x} = \frac{11}{3}

- 1 - \frac{7}{x} = - 6 x

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