What is the answer to 6/(x-3)-6=-12 ?

The answer to 6/(x-3)-6=-12 is x=2

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6/(x-3)-6=-12

\frac{6}{x - 3} - 6 = - 12

x = 2

Solution steps

\frac{6}{x - 3} - 6 = - 12

Move

6

to the right side

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

Multiply both sides by

x - 3

6 = - 6 (x - 3)

Switch sides

- 6 (x - 3) = 6

Divide both sides by

- 6

x - 3 = - 1

Move

3

to the right side

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = 2

x^{2} + 6 x - 2 - \frac{35}{x ^{2} + 6 x} = 0

t, \frac{r}{t} = d + 10

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

\frac{3}{x - 4} = \frac{x - 5}{x}

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