Answer:
He didn't change the direction of the inequality when he divided both sides by -2.
Explanation:
Let's go through each step and see.
First step: They distribute and they did so correctly. -4(x+8)=-4x-32.
Second step: They added 2x on both sides.
Third step: They added 32 on both sides.
Fourth step: The divide both sides by -2 correctly but since this is inequality you must flip the sign.
For example 3>2 but if you multiply both sides by -1 or divide both sides by -1 you get -3<-2.
You have to flip the sign whenever you multiply or divide both sides of inequality by negative number.