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6x-3x-12<5x
Use the distributive property to multiply -3 by x+4.
3x-12<5x
Combine 6x and -3x to get 3x.
3x-12-5x<0
Subtract 5x from both sides.
-2x-12<0
Combine 3x and -5x to get -2x.
-2x<12
Add 12 to both sides. Anything plus zero gives itself.
x>\frac{12}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x>-6
Divide 12 by -2 to get -6.