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2x+2\geq 5
Add -1 and 3 to get 2.
2x\geq 5-2
Subtract 2 from both sides.
2x\geq 3
Subtract 2 from 5 to get 3.
x\geq \frac{3}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.