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2x\geq 2+6
Add 6 to both sides.
2x\geq 8
Add 2 and 6 to get 8.
x\geq \frac{8}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x\geq 4
Divide 8 by 2 to get 4.