Hi Dear,
Welcome to HCM.
Brief answer - Periodontal Abscess
As per your query you have symptoms of gum swelling and tooth pain which is becoming generalized in nature its because of presence of infection,
plaque, calculus and food debris accumulated inside the gum area. Extraction of tooth i.e pulling out of tooth is not a treatment option for your case as tooth pain is generalized in nature.
I would suggest you to visit Periodontist once and get it examine properly. Go for root cleaning, curettage and root planning as you have debris inside gums which are causing detachment of gums from arch. Scaling is not the only option as you don't have superficial rather deep debris accumulation.
Use antimicrobial mouth wash. Brush twice daily with proper brushing technique. Floss daily. Do warm saline or
betadine gargles to prevent bacterial build up.
Go for flap re-positioning if its is advised by periodontist.
Use
Sensodyne or any antisenstivity tooth paste to prevent generalized arch pain.
Hope your concern has been resolved.
Get Well Soon.
Best Wishes.
Dr. Harry Maheshwari