What is the answer to 1/(x-2)+2=(11)/(x-2) ?

The answer to 1/(x-2)+2=(11)/(x-2) is x=7

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1/(x-2)+2=(11)/(x-2)

\frac{1}{x - 2} + 2 = \frac{11}{x - 2}

x = 7

Solution steps

\frac{1}{x - 2} + 2 = \frac{11}{x - 2}

Multiply both sides by

x - 2

1 + 2 (x - 2) = 11

Move

1

to the right side

2 (x - 2) = 10

Divide both sides by

2

x - 2 = 5

Move

2

to the right side

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 7

\frac{5}{x} + \frac{3}{4} = 7

(z + 1) (z + 2) = 1 + 3 z^{- 1} + 2 z^{- 2}

x, x^{- 3} + y^{3} = 27

\frac{2 ( - x ^{2} + 18 )}{x ^{3}} = - 5

- \frac{10}{p - 4} = \frac{3}{p - 6}

What is the answer to 1/(x-2)+2=(11)/(x-2) ?
The answer to 1/(x-2)+2=(11)/(x-2) is x=7
Solve for x: 1/(x-2)+2=(11)/(x-2)
The solution is x=7