\(\dfrac{3x+2}{5x+7}=\dfrac{3x-1}{5x-3}\)
\(\Leftrightarrow\left(3x+2\right)\left(5x-3\right)=\left(5x+7\right)\left(3x-1\right)\)
\(\Leftrightarrow\left(3x+2\right)\left(5x-3\right)-\left(5x+7\right)\left(3x-1\right)=0\)
\(\Leftrightarrow\left(15x^2-9x+10x-6\right)-\left(15x^2-5x+21x-7\right)=0\)
\(\Leftrightarrow15x^2-9x+10x-6-15x^2+5x-21x+7=0\)
\(\Leftrightarrow-15x+1=0\)
\(\Leftrightarrow-15x=-1\)
\(\Leftrightarrow x=\dfrac{-1}{-15}=\dfrac{1}{15}\)
Vậy \(x=\dfrac{1}{15}\)
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