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15x<3x-6
Use the distributive property to multiply 3 by x-2.
15x-3x<-6
Subtract 3x from both sides.
12x<-6
Combine 15x and -3x to get 12x.
x<\frac{-6}{12}
Divide both sides by 12. Since 12 is positive, the inequality direction remains the same.
x<-\frac{1}{2}
Reduce the fraction \frac{-6}{12} to lowest terms by extracting and canceling out 6.