To solve this equation, we need to follow the order of operations (PEMDAS/BODMAS).

First, let's simplify the expression inside the parentheses:
(2x-12)/3-14

Next, let's simplify the division:
(2x-12)/3 = (2/3)x - 4

Now, let's substitute this simplified expression back into the equation:
[(2/3)x - 4] x 4 = 100

Next, let's distribute the 4 to the terms inside the brackets:
(8/3)x - 16 = 100

Now, let's isolate the variable by adding 16 to both sides of the equation:
(8/3)x = 116

Finally, let's solve for x by multiplying both sides of the equation by 3/8:
x = (116)(3/8)
x = 43.5

Therefore, the solution to the equation is x = 43.5.