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10-8x\leq -6
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-8x\leq -6-10
Subtract 10 from both sides.
-8x\leq -16
Subtract 10 from -6 to get -16.
x\geq \frac{-16}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\geq 2
Divide -16 by -8 to get 2.