Let's simplify the equation step by step:
Starting with the equation: \[ 2x - 4x - 3 = -27 \]
First, combine like terms on the left side: \[ (2x - 4x) - 3 = -27 \] \[ -2x - 3 = -27 \]
Now, to isolate the term with \(x\), add 3 to both sides: \[ -2x - 3 + 3 = -27 + 3 \] \[ -2x = -24 \]
Next, divide both sides by -2 to solve for \(x\): \[ x = \frac{-24}{-2} \] \[ x = 12 \]
Thus, the solution is: \[ x = 12 \]