|4x - 2| = -6 is your answer.
Solve each equation:
|4x - 2| = -6
The equation has no solution because absolute value equations are always positive.
|-2 - x| = 9
-2 - x = 9 or -2 - x = -9
-2 - x = 9
-x = 11
x = -11
-2 - x = -9
-x = -7
x = 7
x = -11 or x = 7.
|3x + 6| = 6
3x + 6 = 6 or 3x + 6 = -6
3x + 6 = 6
3x = 0
x = 0
3x + 6 = -6
3x = -12
x = -4
x = 0 or x = -4.
|-2x + 8| = 0
-2x + 8 = 0
-2x = -8
x = -4.
