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5+2x+3x<1
Add 3x to both sides.
5+5x<1
Combine 2x and 3x to get 5x.
5x<1-5
Subtract 5 from both sides.
5x<-4
Subtract 5 from 1 to get -4.
x<-\frac{4}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.