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5x+8-2x<6
Subtract 2x from both sides.
3x+8<6
Combine 5x and -2x to get 3x.
3x<6-8
Subtract 8 from both sides.
3x<-2
Subtract 8 from 6 to get -2.
x<-\frac{2}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.