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5x-12-3x>-4
Subtract 3x from both sides.
2x-12>-4
Combine 5x and -3x to get 2x.
2x>-4+12
Add 12 to both sides.
2x>8
Add -4 and 12 to get 8.
x>\frac{8}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x>4
Divide 8 by 2 to get 4.