To solve -4 < 5x + 12 < 3 get the x-term alone in the center by removing both the 12 and the 5.
To remove the 12, subtract 12 from all three parts: -4 - 12 < 5x + 12 - 12 < 3 - 12
---> -16 < 5x < -9
To remove the 5, all three parts by 5: -16 / 5 < 5x / 5 < -9 / 5
---> -3.2 < x < -1.8