X-2/x+2-3/x-2=2*(x-11)/x^2-4

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  x = 4  or  x = 5

Step-by-step explanation:

Maybe you want to solve ...

The solutions are x=4 and x=5.

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Additional comment

The Order of Operations requires that we interpret your input as ...

  x -(2/x) +2 -(3/x) -2 = (2(x -11)/x^2) -4

This is probably not what you want.

In order to get the interpretation we have used above, you need to use parentheses around any numerator or denominator containing arithmetic operations:

  (x -2)/(x +2) -3/(x -2) = 2(x -11)/(x^2 -4)

the perimeter is increased by a factor of 2