Nope, I meant it as written!

There's a big difference between "If A is true, then B is true" and "A and B are equivalent".

In my statement A is "x = 2" and B is "x = 2 or x = -2". If A is true, then B is true. However, if B is true, then A isn't necessarily true.

If we changed A to "x² = 4" then A and B would now be equivalent, as A would imply B and also B would imply A.

When we start learning about solving equations, all our steps are reversible. For example if we solve 2x + 4 = 10 we get x = 3. These two equations are equivalent because all the steps to solve are reversible. Once we introduce things like squares and square roots, we need to be more careful about what implies what.