Two ways:
1.
4x - 2(1-x) = 2(3x-2) factor out 2
2(2x - (1-x)) = 2(3x-2) divide by 2
2x - 1 + x = 3x - 2 simplify
3x - 1 = 3x -2 + 1 to both sides (by this point we can see it is a contradiction)
3x = 3x - 1 divide by 3
x ≠ x - (1/3) impossible / false statment
2.
4x-2(1-x) = 2(3x-2) expand brackets
4x - 2 + 2x = 6x - 4 combine like terms (simplify)
6x - 2 = 6x-4 divide by 2 (by this point we can see it is a contradiction)
3x - 1 = 3x -2 + 1
3x = 3x - 1 divide by 3
x ≠ x - (1/3) impossible / false statment
In both ways we see a statement which is false . You can never have x = x - (1/3) or any similar statement - it's like saying 1 = 1 - (1/3). It is just not true. Therefore the original statement is a contradiction and cannot be solved.
