To solve the equation \(-2 - 8x = -4x - 2\), we can follow these steps:
-
First, let's rearrange the equation to isolate the variable \(x\):
\[ -2 - 8x + 8x = -4x - 2 + 8x \]
This simplifies to:
\[ -2 = 4x - 2 \]
-
Next, we can add \(2\) to both sides to eliminate \(-2\) from the left side:
\[ -2 + 2 = 4x - 2 + 2 \]
This simplifies to:
\[ 0 = 4x \]
-
Now, we divide both sides by \(4\) to solve for \(x\):
\[ x = 0 \]
Thus, the solution to the equation \(-2 - 8x = -4x - 2\) is:
\[ \boxed{0} \]