\[\large\left\lfloor \frac { x }{ 2 } \right\rfloor +\left\lfloor \frac { x +1 }{ 2 } \right\rfloor = \large\left\lfloor x \right\rfloor \]

Find the most precise solution of \(x\) satisfying the equation above.

\(\)

**Notations:**

\( \lfloor \cdot \rfloor \) denotes the floor function.

\(\mathbb R \) denotes the set of real numbers.

\(\mathbb N \) denotes the set of natural numbers.

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