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5x+8-3x<-3
Subtract 3x from both sides.
2x+8<-3
Combine 5x and -3x to get 2x.
2x<-3-8
Subtract 8 from both sides.
2x<-11
Subtract 8 from -3 to get -11.
x<-\frac{11}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.