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5x\geq 22+8
Add 8 to both sides.
5x\geq 30
Add 22 and 8 to get 30.
x\geq \frac{30}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x\geq 6
Divide 30 by 5 to get 6.