|x + 3| - |x - 1| = 2x + 7 + 5x/|x|
1. x < -3
-x - 3 - 1 + x = 2x + 5 - 5
-4 = 2x
x = -2 - не подходит
2. -3 ≤ x < 0
x + 3 - 1 + x = 2x + 7 - 5
2x + 2 = 2x + 2
0x = 0 ⇒ ∀x
3. 0 < x ≤ 1
x + 3 - 1 + x= 2x + 5 + 7
2x + 2 = 2x + 12
0x = -10 ⇒ x ∈ ∅
4. x > 1
x + 3 - x + 1 = 2x + 7 + 5
4 = 2x + 12
2x = -8
x = -4 - не подходит
Ответ: x ∈ [3; 0)