How can one solve the following by using the method of factorization: 4/(x−3)=5/(2x+3) where x≠3 and x≠−3/2?

Motivated and talented Mathematics Faculty driven to inspire students to pursue their academic and personal excellence. Consistently striving to challenge and engaging learning environment in which students become life-long scholars and learners. Having an experience of more than 6 years in the education industry, having taught more than 5000 students, I decided to help students online. View all posts by M CUBE: Math-e-Matics by Maheshwari