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