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2x\geq 7+5
Add 5 to both sides.
2x\geq 12
Add 7 and 5 to get 12.
x\geq \frac{12}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x\geq 6
Divide 12 by 2 to get 6.