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2x-5-3x\geq 2
Subtract 3x from both sides.
-x-5\geq 2
Combine 2x and -3x to get -x.
-x\geq 2+5
Add 5 to both sides.
-x\geq 7
Add 2 and 5 to get 7.
x\leq -7
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.