3x-8=3x+8 this equations have one solution

Let's solve the equation \( 3x - 8 = 3x + 8 \).

First, subtract \( 3x \) from both sides:

\[ 3x - 8 - 3x = 3x + 8 - 3x \]

This simplifies to:

\[ -8 = 8 \]

Since \(-8\) does not equal \(8\), this statement is false, meaning there are no solutions to the equation.

Thus, the original equation \( 3x - 8 = 3x + 8 \) has no solutions, not one solution. It represents a contradiction.