What is the value for x when solving the equation

Question

−x + (−3) = x + 3 using algebra tiles?

x =

Answer 1

To solve the equation \(-x - 3 = x + 3\) using algebra tiles, we can follow these steps:

1. Rearrange the equation: Move all \(x\) terms to one side and constant terms to the other. For this, we can add \(x\) to both sides and add 3 to both sides.

   \[ -x + x - 3 = x + x + 3 \quad \Rightarrow \quad -3 = 2x + 3 \]

   Now, subtract 3 from both sides:

   \[ -3 - 3 = 2x + 3 - 3 \quad \Rightarrow \quad -6 = 2x \]

2. Solve for \(x\): Now divide both sides by 2:

   \[ x = \frac{-6}{2} = -3 \]

Thus, the value of \(x\) when solving the equation \(-x - 3 = x + 3\) is:

\[ x = -3 \]