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x+20-2x\geq 30
Use the distributive property to multiply 2 by 10-x.
-x+20\geq 30
Combine x and -2x to get -x.
-x\geq 30-20
Subtract 20 from both sides.
-x\geq 10
Subtract 20 from 30 to get 10.
x\leq -10
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.