Ask a New Question
Menu

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.

5 answers

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

  1. Identify and arrange the terms: Start by moving all terms involving \(x\) to one side and constants to the other.

    The equation is: \[ -2 - 8x = -4x - 2 \]

  2. Add \(4x\) to both sides: This helps collect \(x\) terms on the left side.

    \[ -2 - 8x + 4x = -2 \] Simplifying this gives: \[ -2 - 4x = -2 \]

  3. Add \(2\) to both sides: This will help isolate the term with \(x\).

    \[ -2 + 2 - 4x = -2 + 2 \] Simplifying this gives: \[ -4x = 0 \]

  4. Divide by \(-4\): This step isolates \(x\).

    \[ x = \frac{0}{-4} = 0 \]

Thus, the solution to the equation \(-2 - 8x = -4x - 2\) is \[ \boxed{0} \]

shorten the steps

Sure! Here’s a shortened version of the solution:

Given the equation:

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

  1. Add \(4x\) to both sides:

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

  1. Add \(2\) to both sides:

\[ -4x = 0 \]

  1. Divide by \(-4\):

\[ x = 0 \]

The solution is:

\[ \boxed{0} \]

put into sentenses

To solve the equation \(-2 - 8x = -4x - 2\), we first add \(4x\) to both sides, which simplifies the equation to \(-2 - 4x = -2\). Next, we add \(2\) to both sides to isolate the term with \(x\), resulting in \(-4x = 0\). Finally, we divide by \(-4\) to find that \(x = 0\). Therefore, the solution to the equation is \(x = 0\).