Let's simplify the given equation step by step:

12x(x-5) - (6x+1)(2x-3) = 47

First, let's expand the terms inside the parentheses:

12x^2 - 60x - (12x^2 - 18x + 2x - 3) = 47

Then, let's distribute the negative sign across the terms inside the parentheses:

12x^2 - 60x - 12x^2 + 18x - 2x + 3 = 47

The terms 12x^2 and -12x^2 cancel each other out:

-60x + 18x - 2x + 3 = 47

Combine the like terms:

-44x + 3 = 47

Subtract 3 from both sides:

-44x = 44

Divide by -44 to find the value of x:

x = -1

Therefore, the solution to the equation is x = -1.