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\frac{-86}{-2}\geq 3-5x
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
43\geq 3-5x
Divide -86 by -2 to get 43.
3-5x\leq 43
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-5x\leq 43-3
Subtract 3 from both sides.
-5x\leq 40
Subtract 3 from 43 to get 40.
x\geq \frac{40}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x\geq -8
Divide 40 by -5 to get -8.