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3x+8\geq -6
Multiply both sides of the equation by 6, the least common multiple of 2,3. Since 6 is positive, the inequality direction remains the same.
3x\geq -6-8
Subtract 8 from both sides.
3x\geq -14
Subtract 8 from -6 to get -14.
x\geq -\frac{14}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.