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7x-3+2x<12
Add 2x to both sides.
9x-3<12
Combine 7x and 2x to get 9x.
9x<12+3
Add 3 to both sides.
9x<15
Add 12 and 3 to get 15.
x<\frac{15}{9}
Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.
x<\frac{5}{3}
Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.