1.
|2x-8|=4
2x-8=-4 ∨ 2x-8=4
2x=-4+8 ∨ 2x=4+8
2x=4|:2 ∨ 2x=12|:2
x=2 ∨ x=6
x∈{2,6}
2.
|4x+2|=6
4x+2=-6 ∨ 4x+2=6
4x=-6-2 ∨ 4x=6-2
4x=-8|:4 ∨ 4x=4|:4
x=-2 ∨ x=1
x∈{-2,1}
3.
|1/2x-1|=3
1/2x-1=-3 ∨ 1/2x-1=3
1/2x=-2 ∨ 1/2x=4
x=-4 ∨ x=8
x∈{-4,8}
4/
|1 2/3x+4|=2
1 2/3x+4=-2 ∨ 1 2/3x+4=2
1 2/3x=-6|:1 2/3 ∨ 1 2/3x=-2|:1 2/3
x=-18/5 ∨ x=-6/5
x∈{-18/5,-6/5}
5.
|10-x|=4
10-x=-4 ∨ 10-x=4
-x=-4-10 ∨ -x=4-10
-x=-14|:(-1) ∨ x=-6|:(-1)
x=14 ∨ x=6
x∈{6,14}
6.
|1-3x|=6
1-3x=-6 ∨ 1-3x=6
-3x=-6-1 ∨ -3x=6-1
-3x=-7|:(-3) ∨ -3x=5|:(-3)
x=7/3 ∨ x=-5/3
x∈{-5/3,7/3}
|2x-8| = 4
2x - 8 = 4 v 2x - 8 = -4
2x = 12 v 2x = 4
x = 6 v x = 2
|4x +2| = 6
4x + 2 = 6 v 4x + 2 = -6
4x = 4 v 4x = -8
x = 1 v x = -2
|1/2x-1| = 3
(1/2)x - 1 = 3 v (1/2)x - 1 = -3
(1/2)x = 4 v (1/2)x = -2
x = 8 v x = -4
|12/3x+4|=2
(12/3)x + 4 = 2 v (12/3)x + 4 = -2
(12/3)x = -2 v (12/3)x = -6
x = -1/2 v x = -3/2
|10 - x| = 4
10 - x = 4 v 10 - x = -4
-x = -6 v -x = -14
x = 6 v x = 14
|1 - 3x| = 6
1 - 3x = 6 v 1 - 3x = -6
-3x = 5 v -3x = -7
x = -5/3 v x = 7/3
(-_-(-_-)-_-)
