\(\dfrac{2x}{3}-\dfrac{2x+5}{6}=\dfrac{1}{2}\\ \Leftrightarrow\dfrac{4x}{6}-\dfrac{2x+5}{6}=\dfrac{3}{6}\\ \Leftrightarrow4x-2x-5-3=0\\ \Leftrightarrow2x-8=0\\ \Leftrightarrow2x=8\\ \Leftrightarrow x=4\)
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