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D( x )
5-x = 0
8*x-5 = 0
5-x = 0
5-x = 0
5-x = 0 // - 5
-x = -5 // * -1
x = 5
8*x-5 = 0
8*x-5 = 0
8*x-5 = 0 // + 5
8*x = 5 // : 8
x = 5/8
x in (-oo:5/8) U (5/8:5) U (5:+oo)
3/(8*x-5)-(8/(5-x)) = 0
3/(8*x-5)-8*(5-x)^-1 = 0
3/(8*x-5)-8/(5-x) = 0
(3*(5-x))/((8*x-5)*(5-x))+(-8*(8*x-5))/((8*x-5)*(5-x)) = 0
3*(5-x)-8*(8*x-5) = 0
55-67*x = 0
(55-67*x)/((8*x-5)*(5-x)) = 0
(55-67*x)/((8*x-5)*(5-x)) = 0 // * (8*x-5)*(5-x)
55-67*x = 0
55-67*x = 0 // - 55
-67*x = -55 // : -67
x = -55/(-67)
x = 55/67
x = 55/67
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