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Question

-2 - 8x = 4x -2

Answer 1

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

1. Combine like terms: First, let's rearrange the equation to isolate the variable terms on one side. Add \(8x\) to both sides:

   \[ -2 = 4x + 8x - 2 \]

   This simplifies to:

   \[ -2 = 12x - 2 \]

2. Add 2 to both sides: Now, we can eliminate the constant term on the right side. Add \(2\) to both sides of the equation:

   \[ -2 + 2 = 12x - 2 + 2 \]

   This simplifies to:

   \[ 0 = 12x \]

3. Solve for \(x\): To find \(x\), divide both sides by \(12\):

   \[ x = 0 \]

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

\[ \boxed{0} \]