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12x-3<6x+21
Combine 8x and 4x to get 12x.
12x-3-6x<21
Subtract 6x from both sides.
6x-3<21
Combine 12x and -6x to get 6x.
6x<21+3
Add 3 to both sides.
6x<24
Add 21 and 3 to get 24.
x<\frac{24}{6}
Divide both sides by 6. Since 6 is positive, the inequality direction remains the same.
x<4
Divide 24 by 6 to get 4.