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2x-5-8x\geq -5
Subtract 8x from both sides.
-6x-5\geq -5
Combine 2x and -8x to get -6x.
-6x\geq -5+5
Add 5 to both sides.
-6x\geq 0
Add -5 and 5 to get 0.
x\leq 0
Product of two numbers is ≥0 if both are ≥0 or both are ≤0. Since -6\leq 0, x must be ≤0.