The given inequality is
– 8 < – (3x – 5) < 13
= – 8 < – 3x + 5 < 13
= – 8 – 5 < – 3x + 5 – 5 < 13 – 5
= – 13 < – 3x < 8
Multiplying by – 1, we have
13 > 3x > – 8
13/3 > 3x > – 8/3
reversing the order of inequality
−8/3 < x < 13/3
:. The solution set is x ∈(-8/3, 13/3)
