To solve the equation \(2x - 4x - 3 = -27\), first, simplify the left side:
\[ 2x - 4x = -2x \]
So the equation becomes:
\[ -2x - 3 = -27 \]
Next, add 3 to both sides to isolate the term with \(x\):
\[ -2x - 3 + 3 = -27 + 3 \] \[ -2x = -24 \]
Now, divide both sides by -2 to solve for \(x\):
\[ x = \frac{-24}{-2} \] \[ x = 12 \]
Thus, the solution for \(x\) is:
\[ \boxed{12} \]
So the correct answer is \(x = 12\).