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3x-18<2x-30
Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.
3x-18-2x<-30
Subtract 2x from both sides.
x-18<-30
Combine 3x and -2x to get x.
x<-30+18
Add 18 to both sides.
x<-12
Add -30 and 18 to get -12.