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x in (-oo:+oo)
(2*x-3)/5+4 = x-2 // - x-2
(2*x-3)/5-x+2+4 = 0
(2*x-3)/5+(5*(-x))/5+(2*5)/5+(4*5)/5 = 0
2*x+5*(-x)+2*5+4*5-3 = 0
10-3*x-3+20 = 0
7-3*x+20 = 0
27-3*x = 0
(27-3*x)/5 = 0
(27-3*x)/5 = 0 // * 5
27-3*x = 0
27-3*x = 0 // - 27
-3*x = -27 // : -3
x = -27/(-3)
x = 9
x = 9
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