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6+3x-8x\geq 21
Subtract 8x from both sides.
6-5x\geq 21
Combine 3x and -8x to get -5x.
-5x\geq 21-6
Subtract 6 from both sides.
-5x\geq 15
Subtract 6 from 21 to get 15.
x\leq \frac{15}{-5}
Divide both sides by -5. Since -5 is negative, the inequality direction is changed.
x\leq -3
Divide 15 by -5 to get -3.