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

Let's simplify the given equation step by step:

Starting with the left side of the equation:

x - 3x(1 - 12x)

Distribute the -3x to the terms inside the parentheses:

x - 3x + 36x^2

Combine like terms:

-2x + 36x^2

Moving onto the right side of the equation:

11 - (5 - 6x)(5 + 6x)

Expand the expression inside the parentheses using the FOIL method:

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

Combine like terms:

11 - (25 - 36x^2)

Simplify further:

11 - 25 + 36x^2

Combine like terms:

36x^2 - 14

Now the given equation becomes:

-2x + 36x^2 = 36x^2 - 14

Since both sides of the equation have the term 36x^2, we can subtract it from both sides:

-2x = -14

Divide both sides of the equation by -2 to solve for x:

x = -14 / -2

Simplifying:

x = 7

So, the solution to the equation is x = 7.