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2x+5>-4
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
2x>-4-5
Subtract 5 from both sides.
2x>-9
Subtract 5 from -4 to get -9.
x>-\frac{9}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.