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2x-3+x<6
Add x to both sides.
3x-3<6
Combine 2x and x to get 3x.
3x<6+3
Add 3 to both sides.
3x<9
Add 6 and 3 to get 9.
x<\frac{9}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x<3
Divide 9 by 3 to get 3.