|2x -3|+|x-3|=|4x-1|

|2x-3|+|x-3|=|4x-1|
2x-3=0     x-3=0       4x-1=0
x=1,5       x=3            x=0,25  
  ____________0,25____________1,5__________3_________
1) x≤0,25
-(2x-3)-(x-3)=-(4x-1)
-2x+3-x+3=-4x+1
4x-3x=1-6
x=-5
2) 0,25 -(2x-3)-(x-3)=4x-1
-2x+3-x+3=4x-1
4x+3x=6+1
7x=7
x=1
3) 1,52x-3-(x-3)=4x-1
2x-3-x+3=4x-1
x=4x-1
3x=1
x=1/3∉(1,5;3]
4) x>3
2x-3+x-3=4x-1
3x-6=4x-1
x=1-6
x=-5∉(3;+∞)
Ответ: -5; 1