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

Let's simplify the equation step by step:

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

First, distribute the -3x to the terms inside the parentheses:

x - 3x + 36x^2 = 11 - (5-6x)(6x+5)

Combine like terms on the left side of the equation:

-2x + 36x^2 = 11 - (5-6x)(6x+5)

Next, distribute the term (5-6x) to the terms inside the second parentheses:

-2x + 36x^2 = 11 - (30x^2 + 25 - 36x)

Simplify the expression within the second parentheses:

-2x + 36x^2 = 11 - 30x^2 - 25 + 36x

Combine like terms on the right side of the equation:

-2x + 36x^2 = -19 + 6x + 36x^2

Combine like terms on both sides of the equation:

-2x = -19 + 6x

Now, let's isolate the variable x by moving all the x terms to the left side and all the constant terms to the right side:

-2x - 6x = -19

Combine like terms on the left side:

-8x = -19

Finally, solve for x by dividing both sides of the equation by -8:

x = -19 / -8

The solution is x = 19/8.