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5x+6-2x<-1
Subtract 2x from both sides.
3x+6<-1
Combine 5x and -2x to get 3x.
3x<-1-6
Subtract 6 from both sides.
3x<-7
Subtract 6 from -1 to get -7.
x<-\frac{7}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.