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3x-9<-27
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
3x<-27+9
Add 9 to both sides.
3x<-18
Add -27 and 9 to get -18.
x<\frac{-18}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<-6
Divide -18 by 3 to get -6.