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1/x+4 - 1/x-7 = 11
x-7-(x+4)/ (x+4)(x-7)=11
-11/x2-3x-28 = 11
x2-3x-28=-1
x2-3x-27 = 0
x= {3 ±√(32+108)}/2
x= (3 ±  √117)/2

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check the answer.
commented by (7k points)
Now its clear.

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