3-2(2x+2)-(4x+2)
Pretend that there is a -1 in front of the second bracket
3-2(2x+2)-1(4x+2)
Multiply the first bracket by 2
Multiply the second bracket by -1
(-2)(2x)(-2)(2)=-4x-4
(-1)(4x)(-1)(2)= -4x-2
3-4x-4-4x-2
-4x-4x+3-4-2
Do 3-4-2 first
3-4-2
-1-2
=-3
-4x-4x-3
-8x-3
Answer: -8x-3
To solve this absolute value equation, we can use find the solutions as follows taking into account the definition of absolute value, then, we have:

Now, we can solve both equations to find the solution(s):
First case:

Second case:

Then, both solutions are the same, because of the absolute rule (this is the point when y = 0, that is the x-intercept for this function.)
Therefore, the solution set is {19/20}.
11, 13, 15 Rule: Add 2 or +2
1/6, 1/7, 1/8 Rule: Add