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