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10-2x\geq 0
Add 5 and 5 to get 10.
-2x\geq -10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x\leq \frac{-10}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq 5
Divide -10 by -2 to get 5.