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

Let's simplify the left side of the equation first:

x - 3x(1 - 12x) = x - 3x + 36x^2

Now let's simplify the right side of the equation:

11 - (5 - 6x)(6x + 5) = 11 - (30x - 36x^2 + 25 - 30x) = 11 - (55 - 6x - 36x^2) = 11 - 55 + 6x + 36x^2

Now we can rewrite the equation:

x - 3x + 36x^2 = 11 - 55 + 6x + 36x^2

Combining like terms:

-2x + 36x^2 = -44 + 6x + 36x^2

Subtracting 6x + 36x^2 from both sides:

-8x = -44

Dividing both sides by -8:

x = 5.5

So the solution to the equation is x = 5.5.