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2\left(5x+6\right)>2\times 3
Multiply both sides by 3. Since 3 is positive, the inequality direction remains the same.
5x+6>3
Cancel out 2 on both sides. Since 2 is positive, the inequality direction remains the same.
5x>3-6
Subtract 6 from both sides.
5x>-3
Subtract 6 from 3 to get -3.
x>-\frac{3}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.