Let's solve the equation step by step:
The equation is:
\[ x - 2(3x - 15) - 4 = 56 \]
First, distribute the \(-2\) across the terms inside the parentheses:
\[ x - 6x + 30 - 4 = 56 \]
Combine like terms:
\[ -5x + 26 = 56 \]
Next, isolate the variable \(x\) by subtracting 26 from both sides:
\[ -5x = 56 - 26 \] \[ -5x = 30 \]
Now, divide both sides by \(-5\):
\[ x = \frac{30}{-5} \] \[ x = -6 \]
So, the solution is:
\[ x = -6 \]