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9+5x\geq -6
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
5x\geq -6-9
Subtract 9 from both sides.
5x\geq -15
Subtract 9 from -6 to get -15.
x\geq \frac{-15}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x\geq -3
Divide -15 by 5 to get -3.