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4x-3-x>6
Subtract x from both sides.
3x-3>6
Combine 4x and -x to get 3x.
3x>6+3
Add 3 to both sides.
3x>9
Add 6 and 3 to get 9.
x>\frac{9}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
x>3
Divide 9 by 3 to get 3.