To solve the equation 6(5x - 4) + 12 = 108, we need to follow the order of operations (PEMDAS/BODMAS) and simplify the equation step by step.

Step 1: Distribute the 6 to the terms inside the parentheses
6(5x - 4) + 12 = 108
30x - 24 + 12 = 108

Step 2: Combine like terms
30x - 12 = 108

Step 3: Isolate the variable term
To isolate the variable term (30x), we need to perform the opposite operation of subtracting 12, which is adding 12 to both sides of the equation.
30x - 12 + 12 = 108 + 12
30x = 120

Step 4: Solve for x
To solve for x, we need to divide both sides of the equation by 30.
30x/30 = 120/30
x = 4

Step 5: Check the solution
To check if x = 4 is the correct solution, substitute it back into the original equation and see if both sides are equal.
6(5x - 4) + 12 = 108
6(5(4) - 4) + 12 = 108
6(20 - 4) + 12 = 108
6(16) + 12 = 108
96 + 12 = 108
108 = 108

Since both sides of the equation are equal when x = 4, we can conclude that the solution is correct.

Therefore, the solution to the equation 6(5x - 4) + 12 = 108 is x = 4.