To determine whether the equation \(-3x + 8 = -3x - 8\) has a solution, we'll start by simplifying it.
- First, let's add \(3x\) to both sides: \[ -3x + 3x + 8 = -3x + 3x - 8 \] This simplifies to: \[ 8 = -8 \]
The statement \(8 = -8\) is false. This means that there are no values of \(x\) that will satisfy the original equation.
Therefore, the equation \(-3x + 8 = -3x - 8\) has no solutions.