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