X-3x(1-12x)=11-(5-6x)(6x+5)

Let's begin by simplifying the equation step by step:

x - 3x(1 - 12x) = 11 - (5 - 6x)(6x + 5)

First, let's distribute the -3x:

x - 3x + 36x² = 11 - (5 - 6x)(6x + 5)

Next, let's simplify the expression inside the parentheses:

x - 3x + 36x² = 11 - (30x² + 25 - 36x)

Now, let's distribute the negative sign to each term inside the parentheses:

x - 3x + 36x² = 11 - 30x² - 25 + 36x

Combine like terms:

-2x + 36x² = 36x - 14 - 30x²

Next, let's bring all the terms to one side of the equation:

-2x + 36x² - 36x + 30x² = -14

Combine like terms:

66x² - 38x = -14

Now, let's set the equation equal to zero by moving the -14 to the other side:

66x² - 38x + 14 = 0

Now, you can use quadratic formula or factoring to solve for x.