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5<3x+18
Multiply both sides of the equation by 6, the least common multiple of 6,2. Since 6 is positive, the inequality direction remains the same.
3x+18>5
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
3x>5-18
Subtract 18 from both sides.
3x>-13
Subtract 18 from 5 to get -13.
x>-\frac{13}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.