1. Let's understand the problem: You want to know why when multiplying both sides of an equation by 2, the term $2x - 3$ does not change. 2. Suppose we have an equation involving $2x - 3$, for example, $2x - 3 = y$. 3. If we multiply both sides by 2, the equation becomes $2(2x - 3) = 2y$. 4. Now, multiplying gives $4x - 6 = 2y$. 5. Notice here that $2x - 3$ has changed to $4x - 6$; it is multiplied by 2. 6. If you mention that $2x - 3$ did not change, it means you did not multiply the left side by 2, or the multiplication was applied only to the right side by mistake. 7. When multiplying both sides of an equation by a number, every term on both sides must be multiplied by that number. 8. So if you multiply both sides by 2, $2x - 3$ becomes $4x - 6$ and not the same as before. 9. Conclusion: $2x - 3$ does change when multiplied by 2, so it must have been a misunderstanding or an error in applying multiplication to both sides.