To solve the equation 3(x+2)+(x-6)=72, we can start by simplifying both sides of the equation.

First, distribute the 3 to both terms inside the parentheses:
3(x+2) = 3x + 6

Next, distribute the 1 to both terms inside the parentheses:
(x-6) = x - 6

Now, substitute the simplified expressions back into the original equation:
3x + 6 + x - 6 = 72

Combine like terms:
4x = 72

Divide both sides of the equation by 4:
x = 18

Therefore, the solution to the equation 3(x+2)+(x-6)=72 is x = 18.