To solve the equation |3x + 6| = 15, we can split it into two separate equations:
1) 3x + 6 = 15
2) -(3x + 6) = 15
Solving equation 1:
3x + 6 = 15
3x = 15 - 6
3x = 9
x = 9/3
x = 3
Solving equation 2:
-(3x + 6) = 15
-3x - 6 = 15
-3x = 15 + 6
-3x = 21
x = 21/-3
x = -7
So, the solutions to the equation |3x + 6| = 15 are x = 3 and x = -7.