Let's analyze the equation \( x + 2 = x + 4 \).
To determine the truth of this equation, we can start by simplifying it. We can subtract \( x \) from both sides:
\[ x + 2 - x = x + 4 - x \]
This simplifies to:
\[ 2 = 4 \]
This statement is false. Since we have reached a contradiction, it indicates that there are no values for \( x \) that will satisfy the equation.
Therefore, the correct statement about the equation is:
The equation has no solution.
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