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

The answer to x/(x-6)-8=-1/(x-6) is x=7

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

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

x = 7

Solution steps

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

Multiply both sides by

x - 6

x - 8 (x - 6) = - 1

Expand

- 8 (x - 6) : - 8 x + 48

x - 8 x + 48 = - 1

Add similar elements:

x - 8 x = - 7 x

- 7 x + 48 = - 1

Move

48

to the right side

- 7 x = - 49

Divide both sides by

- 7

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = 7

\frac{8}{x ^{2}} + 1 = \frac{9}{x}

\frac{1}{x + 9} - 1 = \frac{x}{x + 9}

\frac{1}{2 x} + \frac{3}{x + 7} = \frac{- 1}{x}

\frac{2}{x} + \frac{5}{3 x} = 5

x + \frac{8}{x} = - 9

What is the answer to x/(x-6)-8=-1/(x-6) ?
The answer to x/(x-6)-8=-1/(x-6) is x=7
Solve for x: x/(x-6)-8=-1/(x-6)
The solution is x=7