\(2.\left(\dfrac{1}{2}.x-\dfrac{1}{3}\right)\)= \(\dfrac{1}{4}\)+ \(\dfrac{3}{2}\)
\(2.\left(\dfrac{1}{2}.x-\dfrac{1}{3}\right)\)= \(\dfrac{7}{4}\)
\(\dfrac{1}{2}.x-\dfrac{1}{3}\)= \(\dfrac{7}{4}\)\(:2\)
\(\dfrac{1}{2}.x-\dfrac{1}{3}\)= \(\dfrac{7}{8}\)
\(\dfrac{1}{2}.x\)= \(\dfrac{7}{8}+\dfrac{1}{3}\)
\(\dfrac{1}{2}.x\)= \(\dfrac{29}{24}\)
x = \(\dfrac{29}{24}:\dfrac{1}{2}\)
\(x=\dfrac{29}{12}\)
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