Let's solve the equation step by step:
Given:
\[ 2(-2x + 2) - 6 = 4 \]
First, distribute the 2 to the terms inside the parentheses:
\[ 2 \cdot -2x + 2 \cdot 2 - 6 = 4 \]
This simplifies to:
\[ -4x + 4 - 6 = 4 \]
Combine the constant terms (4 and -6):
\[ -4x - 2 = 4 \]
Next, add 2 to both sides of the equation:
\[ -4x - 2 + 2 = 4 + 2 \]
This simplifies to:
\[ -4x = 6 \]
Divide both sides by -4 to solve for \( x \):
\[ x = \frac{6}{-4} \]
Simplifying the fraction gives:
\[ x = -\frac{3}{2} \]
So, the value of \( x \) is:
\[ x = -\frac{3}{2} \]