To solve the inequality 3x + 18 > 54, we need to isolate x on one side of the inequality symbol. 
Starting with 3x + 18 > 54:
1. Subtract 18 from both sides of the inequality:
 3x + 18 - 18 > 54 - 18
 Simplifying gives: 3x > 36
2. Divide both sides by 3 to isolate x:
 3x/3 > 36/3
 Simplifying gives: x > 12
Therefore, the solution to the inequality 3x + 18 > 54 is x > 12.