Answer:
x<-8
Step-by-step explanation:
-5x-10>30
(add 10 to both sides)
-5x-10+10>30+10
-5x>40
[tex]\frac{-5x}{-1}[/tex]<[tex]\frac{40}{-1}[/tex]
(dividing through by -1 changes the sign of the inequality from "<" to ">")
5x<-40
(dividing through by 5)
[tex]\frac{5x}{5}[/tex]<[tex]\frac{-40}{5\\}[/tex]
x<-8