Esmeralda wants to solve for x in the equation 3−2x+1⋅3−2x−3=3−3 . Which of the following answers should she select?

Answer 1

To solve the equation \(3 - 2x + 1 \cdot 3 - 2x - 3 = 3 - 3\), we will first simplify the left side.

1. Start with the left side: \[ 3 - 2x + 1 \cdot 3 - 2x - 3 \] The term \(1 \cdot 3\) simplifies to \(3\), so we can rewrite it as: \[ 3 - 2x + 3 - 2x - 3 \] Combine like terms: \[ (3 - 3) + (-2x - 2x) = 0 - 4x = -4x \]

2. Now, rewrite the equation with the simplified left side: \[ -4x = 3 - 3 \] The right side simplifies to \(0\): \[ -4x = 0 \]

3. To solve for \(x\), divide both sides by \(-4\): \[ x = 0 \]

Thus, the solution for \(x\) in the equation is \(x = 0\). Esmeralda should select that answer.