There are 2 solutions with absolute value equations.
1. |2x-6| = 4x+4
Remove absolute value:
2x-6 =4x + 4
Subtract 4x from both sides:
-2x -6 = 4
Add 6 to both sides:
-2x = 10
Divide both sides by -2:
X = -5
2nd solution
Remove absolute value and add a negative sign to the right side:
2x-6 = -4x -4
Add 4x to both sides::
6x-6 =-4
Add 6 to both sides:
6x = 2
Divide both sides by 6:
X = 2/6
X = 1/3
The two answers are x = -5 and x = 1/3