Answer:
She forgot to flip the inequality when dividing by a negative
Step-by-step explanation:
β2(x β 5) β 12 β€ 4 + 6(x + 3)
Distribute the -2 and the 6
-2x+10 -12 β€ 4 + 6x + 18
Combine like terms
-2x-2 β€ Β 6x+22
Subtract 6x from each side
-2x-6x-2 β€ Β 6x-6x+22
-8x-2 β€ +22
Add 2 to each side
-8x-2+2 β€ +22+2
β8x β€ 24
Divide by -3. Β Remember when multiplying or dividing by a negative to flip the inequality
-8x/-8 β₯ 24/-8
xβ₯-3