First, let's simplify the equation by distributing the terms:

2x - 12(3-x) = 1 + 3(x + 2)

2x - 36 + 12x = 1 + 3x + 6

Now, combine like terms:

14x - 36 = 3x + 7

Next, isolate the variable terms on one side of the equation:

14x - 3x = 7 + 36

11x = 43

Finally, divide both sides by 11 to solve for x:

x = 43/11

Therefore, the solution to the equation is x = 3.909 (rounded to three decimal places).