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4x-24<3x-21
Multiply both sides of the equation by 12, the least common multiple of 3,4. Since 12 is positive, the inequality direction remains the same.
4x-24-3x<-21
Subtract 3x from both sides.
x-24<-21
Combine 4x and -3x to get x.
x<-21+24
Add 24 to both sides.
x<3
Add -21 and 24 to get 3.