\(\left(4x-3\right)\left(3x+2\right)-\left(3x+5\right)\left(4x-1\right)=3x\)
\(\Leftrightarrow12x^2+8x-9x-6-\left(12x^2-3x+20x-5\right)=3x\)
\(\Leftrightarrow12x^2+8x-9x-6-12x^2+3x-20x+5=3x\)
\(\Leftrightarrow-21x-1=0\)
\(\Leftrightarrow x=-\dfrac{1}{21}\)
\(\left(4x-3\right)\left(3x+2\right)-\left(3x+5\right)\left(4x-1\right)=3x\)
\(\Leftrightarrow\)\(12x^2+8x-9x-6-12x^2+3x-20x+5-3x=0\)
\(\Leftrightarrow-21x-1=0\)
\(\Rightarrow x=-\dfrac{1}{21}\)