To solve the equation 3(x+2) - 12 = 27, follow these steps:
1. Distribute the 3 on the left side by multiplying it with each term inside the parentheses:
3(x+2) - 12 = 27
3x + 6 - 12 = 27
2. Combine like terms by adding 6 and 12 on the left side:
3x - 6 = 27
3. Now, add 6 to both sides of the equation to isolate 3x:
3x - 6 + 6 = 27 + 6
3x = 33
4. Finally, divide both sides by 3 to solve for x:
3x/3 = 33/3
x = 11
So, the solution for x is x = 11.