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