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2x+8\leq 3x+6
Use the distributive property to multiply 3 by x+2.
2x+8-3x\leq 6
Subtract 3x from both sides.
-x+8\leq 6
Combine 2x and -3x to get -x.
-x\leq 6-8
Subtract 8 from both sides.
-x\leq -2
Subtract 8 from 6 to get -2.
x\geq \frac{-2}{-1}
Divide both sides by -1. Since -1 is negative, the inequality direction is changed.
x\geq 2
Fraction \frac{-2}{-1} can be simplified to 2 by removing the negative sign from both the numerator and the denominator.