All steps that Marcie did are right, but she forgot to change sign in last step.
Consider the inequality
\(-2(x - 5) -12 \le 4 + 6(x + 3).\)
Then
\(-2x+10-12 \le 4 + 6x+18.\)
Group the numbers:
\(-2x-2 \le 6x+22.\)
Separate terms with x and without x in different sides:
\(-2x-6x \le 22+2.\\-8x\le 24.\)
The coefficient at x is -8 and it is negative, then dividing the inequality by -8 you have to change sign in opposite:
\(x\ge -3.\)
Answer: Marcie forgot to change sign in last step.
