Решите уравнение
|x-3| - |2x-4| = -5

|x-3| - |2x-4| = -5х-3=0         2х-4=0х=3            2х=4                  х=2___________________2_____________3____________1) x<2             -(x-3)+(2x-4)=-5                       -x+3+2x-4=-5                       x-1=-5                       x=-5+1                       x=-4 <2                       x=-4 -корень уравнения2) 2<x<3         -(x-3)-(2x-4)=-5                       -x+3-2x+4=-5                       -3x+7=-5                       -3x=-5-7                       -3x=-12 |:(-3)                        x=4 ∈ (2;3)                        x=4 - не является корнем уравнения3) x>3             +(x+3)-(2x-4)=-5                        x+3-2x+4=-5                       -x+7=-5                       -x=-5-7                       -x=-12 |:(-1)                        x=12 ∈ (3;+∞)                        x=12 -корень уравненияОтвет: -4 и 12