Question

Solve, then type your answer into the box. Use the sketch pad(s) to show your work:
-2-8x=4x-2


MUST show your work.

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:

\[
\boxed{0}
\]