Answer
$(-∞ ,-4)$
Work Step by Step
Distribute the left side. Then add $8$ and subtract $3x$ on both sides and divide. Remember to flip the sign since both sides are being divided by a negative number.
$-4(x+2)\gt3x+20$
$-4x-8\gt3x+20$
$-4x\gt3x+28$
$-7x\gt28$
$x\lt-4$
$(-∞ ,-4)$
