The equation $5 + 2 = 5 + x$ simplifies to:

$7 = 5 + x$

Now, subtract 5 from both sides:

$7 - 5 = x$

$x = 2$

This means $x = 2$. Since this equation has a solution (namely, $x = 2$), the equation does not fall into the category of "no solution."

An equation with no solution typically occurs when you have something like:

$7 = 5$

which is a contradiction.

Would you like further details or have any questions about this?

Here are five related questions:

1. What kind of equations typically have no solutions?
2. How do we determine when an equation has infinite solutions?
3. What is a contradiction in mathematics?
4. How do you solve an equation with variables on both sides?
5. Can systems of equations have no solutions, and how?

Tip: When simplifying equations, look for contradictions (e.g., when both sides are equal but variables disappear).