\(6\left(x-3\right)\left(x-4\right)-6x\left(x-2\right)=4\\ \Leftrightarrow6\left(x^2-7x+12\right)-6x^2+12x=4\\ \Leftrightarrow6x^2-42x+72-6x^2+12x=4\\ \Leftrightarrow-30x+72=4\\ \Leftrightarrow30x=72-4=68\\ \Leftrightarrow x=\dfrac{68}{30}=\dfrac{34}{15}\)