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-x+8\geq 5
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-x\geq 5-8
Subtract 8 from both sides.
-x\geq -3
Subtract 8 from 5 to get -3.
x\leq \frac{-3}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\leq 3
Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.