|x - 1| = |2x - 5|
x - 1 = 2x - 5
x = 2x - 5 + 1
x = 2x - 4
2x - x = 4
x = 4
|x-1| = |2x-5|
=> x-1 = 2x-5 hoặc -x-1 = -2x-5
Nếu x-1 = 2x-5
=> x = 2x-5+1
=> x = 2x-(5-1)
=> x = 2x-4
=> 2x-x = 4
=> x = 4.
Nếu -x-1 = -2x-5
=> -x = -2x-5+1
=> -x = -2x-(5-1)
=> -x = -2x-4
=> -2x-(-x) = 4
=> -x = 4
=> -4 = x
=> x = -4.
Vậy x = 4 hoặc x = -4.