To solve for \( x \) in the equation:
\[ -2(3x - 15) - 4 = 56 \]
Let's start by distributing the \(-2\):
\[ -2 \cdot 3x + 2 \cdot 15 - 4 = 56 \]
This simplifies to:
\[ -6x + 30 - 4 = 56 \]
Now, combine like terms on the left side:
\[ -6x + 26 = 56 \]
Next, isolate the term with \( x \) by subtracting 26 from both sides:
\[ -6x = 56 - 26 \]
This simplifies to:
\[ -6x = 30 \]
Now, divide both sides by -6 to solve for \( x \):
\[ x = \frac{30}{-6} = -5 \]
Thus, the solution is:
\[ \boxed{-5} \]