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10-3x-5x\leq -14
Subtract 5x from both sides.
10-8x\leq -14
Combine -3x and -5x to get -8x.
-8x\leq -14-10
Subtract 10 from both sides.
-8x\leq -24
Subtract 10 from -14 to get -24.
x\geq \frac{-24}{-8}
Divide both sides by -8. Since -8 is negative, the inequality direction is changed.
x\geq 3
Divide -24 by -8 to get 3.