What is the answer to 2/(x-2)+2=(12)/(x-2) ?

The answer to 2/(x-2)+2=(12)/(x-2) is x=7

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2/(x-2)+2=(12)/(x-2)

\frac{2}{x - 2} + 2 = \frac{12}{x - 2}

x = 7

Solution steps

\frac{2}{x - 2} + 2 = \frac{12}{x - 2}

Multiply both sides by

x - 2

2 + 2 (x - 2) = 12

Move

2

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{15}{4} = \frac{30}{x}

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

\frac{- 2 x - 2}{x ^{2} + 2 x} = 0

\frac{n !}{( n - 2 ) !} = 56

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

What is the answer to 2/(x-2)+2=(12)/(x-2) ?
The answer to 2/(x-2)+2=(12)/(x-2) is x=7
Solve for x: 2/(x-2)+2=(12)/(x-2)
The solution is x=7