\(\dfrac{2x-3}{8}=\dfrac{x+6}{12}\\ \Leftrightarrow\dfrac{3\left(2x-3\right)}{24}-\dfrac{2\left(x+6\right)}{24}=0\\ \Leftrightarrow6x-9-2x-12=0\\ \Leftrightarrow4x-21=0\\ \Leftrightarrow x=\dfrac{21}{4}\)
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