What is the answer to 1/(x-7)-1=-(9x)/(x-7) ?

The answer to 1/(x-7)-1=-(9x)/(x-7) is x=-1

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1/(x-7)-1=-(9x)/(x-7)

\frac{1}{x - 7} - 1 = - \frac{9 x}{x - 7}

x = - 1

Solution steps

\frac{1}{x - 7} - 1 = - \frac{9 x}{x - 7}

Multiply both sides by

x - 7

1 - (x - 7) = - 9 x

Expand

1 - (x - 7) : - x + 8

- x + 8 = - 9 x

Move

8

to the right side

- x = - 9 x - 8

Move

9 x

to the left side

8 x = - 8

Divide both sides by

8

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 7

Combine undefined points with solutions:

x = - 1

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

\frac{40}{x - 2} - \frac{40}{x} - 1 = 0

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

\frac{3}{x - 19} = \frac{19}{x - 3}

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

What is the answer to 1/(x-7)-1=-(9x)/(x-7) ?
The answer to 1/(x-7)-1=-(9x)/(x-7) is x=-1
Solve for x: 1/(x-7)-1=-(9x)/(x-7)
The solution is x=-1