Simple Linear Equations, But Introducing Floors!

Algebra Level 5

\[\large{\left \lfloor \dfrac{2x+1}{3} \right \rfloor + \left \lfloor \dfrac{4x+5}{6} \right \rfloor = \dfrac{3x-1}{2}}\]

Find the sum of all real \({x}\) satisfying the above equation.

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