Is Combining Benzoyl Peroxide and Retina A To My Face Washing Regimen Ok?

hi, i being using .025 retin a gel for around 6 months.but i still have many blackheads.i want to start the new regimen by adding 2.5% benzoyl peroxide to my current regimen and i will reduce the retin a to "every two days" and using benzoyl peroxide every morning.here is my new regimen: A.M: 1)wash with Purpose gentle cleanser 2) 2.5% bp (every morning 3) moisturizer P.M: 1) purpose gentle cleanser 2) moisturizer 3) .025 retin-a gel (every two day