What is the answer to 1/(x-2)-5=(16)/(x-2) ?

The answer to 1/(x-2)-5=(16)/(x-2) is x=-1

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1/(x-2)-5=(16)/(x-2)

\frac{1}{x - 2} - 5 = \frac{16}{x - 2}

x = - 1

Solution steps

\frac{1}{x - 2} - 5 = \frac{16}{x - 2}

Multiply both sides by

x - 2

1 - 5 (x - 2) = 16

Move

1

to the right side

- 5 (x - 2) = 15

Divide both sides by

- 5

x - 2 = - 3

Move

2

to the right side

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = - 1

\frac{x - 3}{x + 4} = 100

\frac{1}{x + 3} + 4 = \frac{17}{x + 3}

\frac{2}{4} = \frac{6}{x}

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

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

What is the answer to 1/(x-2)-5=(16)/(x-2) ?
The answer to 1/(x-2)-5=(16)/(x-2) is x=-1
Solve for x: 1/(x-2)-5=(16)/(x-2)
The solution is x=-1