-2x(-6)=

- x - = +
12

-2x(-6)=12x

To solve the given equation, we will follow the order of operations (PEMDAS) and simplify each side step by step.

The equation we have is:
-2x(-6) = -x - 12

Step 1: Simplify the multiplication on the left side.
(-2) * (-6) = 12
So, the equation becomes:
12x = -x - 12

Step 2: Combine like terms on the right side.
To do this, we'll move -x to the left side by adding x to both sides. This eliminates -x from the right side.
12x + x = -x + x - 12
13x = -12

Step 3: Solve for x.
To isolate x, we'll divide both sides of the equation by 13.
(13x) / 13 = (-12) / 13
x = -12/13

Therefore, the solution to the equation -2x(-6) = -x - 12 is x = -12/13.