\(\dfrac{5}{2}-\dfrac{3}{2\left(x-1\right)}=\dfrac{1}{3}\)
MTC: \(6\left(x-1\right)\)
\(\Rightarrow\dfrac{5.3\left(x-1\right)}{6\left(x-1\right)}-\dfrac{3.3}{6\left(x-1\right)}=\dfrac{2\left(x-1\right)}{6\left(x-1\right)}\)
\(\Rightarrow15\left(x-1\right)-9=2\left(x-1\right)\)
\(\Rightarrow15x-15-9=2x-2\)
\(\Rightarrow15x-15-9-2x+2=0\)
\(\Rightarrow13x-22=0\)
\(\Rightarrow13x=22\)
\(\Rightarrow x=\dfrac{22}{13}\)
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