What is the answer to (x-6)/(x-13)=-6 ?

The answer to (x-6)/(x-13)=-6 is x=12

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(x-6)/(x-13)=-6

\frac{x - 6}{x - 13} = - 6

x = 12

Solution steps

\frac{x - 6}{x - 13} = - 6

Multiply both sides by

x - 13

x - 6 = - 6 (x - 13)

Expand

- 6 (x - 13) : - 6 x + 78

x - 6 = - 6 x + 78

Move

6

to the right side

x = - 6 x + 84

Move

6 x

to the left side

7 x = 84

Divide both sides by

7

x = 12

Verify Solutions

Find undefined (singularity) points:

x = 13

Combine undefined points with solutions:

x = 12

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