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4x-1-5x\geq 2
Subtract 5x from both sides.
-x-1\geq 2
Combine 4x and -5x to get -x.
-x\geq 2+1
Add 1 to both sides.
-x\geq 3
Add 2 and 1 to get 3.
x\leq -3
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.