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2x+6>4
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
2x>4-6
Subtract 6 from both sides.
2x>-2
Subtract 6 from 4 to get -2.
x>\frac{-2}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x>-1
Divide -2 by 2 to get -1.