What is the answer to 1-(8x)/(x-6)= 1/(x-6) ?

The answer to 1-(8x)/(x-6)= 1/(x-6) is x=-1

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1-(8x)/(x-6)= 1/(x-6)

1 - \frac{8 x}{x - 6} = \frac{1}{x - 6}

x = - 1

Solution steps

1 - \frac{8 x}{x - 6} = \frac{1}{x - 6}

Multiply both sides by

x - 6

- 7 x - 6 = 1

Move

6

to the right side

- 7 x = 7

Divide both sides by

- 7

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = - 1

\frac{x - 13}{x} = 5 - \frac{10 ( 5 x + 3 )}{x ^{2}}

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

\frac{x + 3}{x} = \frac{2 x + 10}{x - 3}

\frac{2 x}{3} - \frac{1}{x} + \frac{5}{6} = 0

x + \frac{3 x + 2}{x + 4} = 2 x

What is the answer to 1-(8x)/(x-6)= 1/(x-6) ?
The answer to 1-(8x)/(x-6)= 1/(x-6) is x=-1
Solve for x: 1-(8x)/(x-6)= 1/(x-6)
The solution is x=-1