Answer
$s\leq-2$
Work Step by Step
$3s+6\leq-5(s+2)\longrightarrow$ multiply using the distributive property
$3s+6\leq-5s-10\longrightarrow$ add 5s to each side
$3s+6+5s\leq-5s-10+5s\longrightarrow$ add
$8s+6\leq-10\longrightarrow$ subtract 6 from each side
$8s+6-6\leq-10-6\longrightarrow$ subtract
$8s\leq-16\longrightarrow$ divide both sides by 8
$8s\div8\leq-16\div8\longrightarrow$ divide
$s\leq-2$