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Question

-2-8x=4x-2

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Answer 1

To solve the equation \( -2 - 8x = 4x - 2 \), we can follow these steps:

1. Move all terms involving \( x \) to one side of the equation and constant terms to the other side.

   We will add \( 8x \) to both sides of the equation to isolate the \( x \) terms on one side:

   \[ -2 - 8x + 8x = 4x - 2 + 8x \] This simplifies to: \[ -2 = 12x - 2 \]

2. Now, add 2 to both sides to isolate the \( x \) term:

   \[ -2 + 2 = 12x - 2 + 2 \] This simplifies to: \[ 0 = 12x \]

3. Now, divide both sides by 12 to solve for \( x \):

   \[ x = \frac{0}{12} = 0 \]

Thus, the solution to the equation \( -2 - 8x = 4x - 2 \) is:

\[ \boxed{0} \]