The solution to the equation 11x + 2 = 8x + 6 + 32 is x = 12.
To solve the equation 11x + 2 = 8x + 6 + 32, we need to simplify and isolate the variable x. 
Combine like terms on both sides of the equation: 
11x - 8x = 6 + 32 - 2
3x = 6 +30
3x = 36
As 36 is divisible by 3
So, 
Divide both sides of the equation by 3 to isolate x: 
x = 36 ÷ 3
This simplifies to x = 12