Absolute value equation
|1-X| = 2X-5
case 1:
1-x = 2x-5
-3x = -6
x = 2
case 2:
-1+x = 2x-5
-x = -4
x = 4
x = 2 or x = 4
but by definition of absolute value,
2x-5 ≥ 0
2x ≥5
x ≥ 5/2
so x = 4
|1-X| = 2X-5
1-x = 2x-5
-3x = -6
x = 2
case 2:
-1+x = 2x-5
-x = -4
x = 4
x = 2 or x = 4
but by definition of absolute value,
2x-5 ≥ 0
2x ≥5
x ≥ 5/2
so x = 4