To solve the equation 3x = 15, divide both sides by 3 to isolate x, resulting in x = 15/3, which simplifies to x = 5. There was confusion in the discussion regarding the incorrect manipulation of the equation, particularly the claim that 3x equals 5x. It is emphasized that to solve for x, it must be isolated, and operations performed on one side must also be applied to the other side of the equation. A cautionary example was provided about misapplying algebraic principles, highlighting the importance of clarity in operations. Correctly solving the equation confirms that x = 5 is the accurate solution.