Taking the LCM of the right hand side of the equation, we have
4(2x−3)−2(x+5)(x+5)(2x−3)=6x+m2x2+7x−15
Comparing the numerators, we have
4(2x−3)−2(x+5)=6x+m
8x−12−2x−10=6x−22=6x+m
impliesm=−22