Final answer:
The solution to the equation 18 = 3(2x - 6) is found by distributing the 3, adding 18 to both sides, and then dividing by 6, which yields x = 6.
Step-by-step explanation:
The solution to the equation 18 = 3(2x - 6) involves using algebra to isolate the variable x on one side of the equation. Follow these steps:
- Distribute the 3 across the parentheses: 18 = 6x - 18.
- Add 18 to both sides to balance the equation: 36 = 6x.
- Divide both sides by 6 to solve for x: x = 6.
Therefore, the solution to the equation is x = 6.