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

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

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

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

x = 7

Solution steps

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

Multiply both sides by

x - 6

- 6 (x - 6) + x = 1

Expand

- 6 (x - 6) + x : - 5 x + 36

- 5 x + 36 = 1

Move

36

to the right side

- 5 x = - 35

Divide both sides by

- 5

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 6

Combine undefined points with solutions:

x = 7

\frac{5}{p} + 5 = - 10

\frac{b}{c} = a, c

x, f x = \frac{1}{x}

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

\frac{1}{3} = \frac{2}{t}

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