I have a 1996 Suburban that keeps blowing fuses on break lights

You'll have to follow the wiring to find the short to ground. You may need a wiring diagram to know what to look at.
It could be in one of the tail lamp sockets, or in the wiring harness.

Check fgor blowin fuses, Bulbs could be bad, Loose wires, A break in a wire, Or loose ground wires, Or they shorted out,

You look for a short in the circuit.
Something is blowing the fuses, such as a door switch or socket for the bulbs.

If the fuse blows on different trailers then it's all down to the vehicle. You either have incorrect wiring on the vehicle, a short OR the fuse is not of a high enough value to cope with the additional brake lights? You could try removing all the trailer bulbs EXCEPT the brake lights - e.g. if it's trying to power up the indicators too? That would stop the fuse blowing...... OR remove the brake bulbs from the vehicle & see if it operates the trailer without blowing...... Check the total wattage of ALL the brake lamps & see if the fuse is actually of a high enough rating? Be aware though that increasing the value of the fuse could cause damage elsewhere! As a rough guide a 25 watt bulb will pull around 2 amps at 12 volts - so 4 bulbs may pull up to 8 amps & clearly blow a 5 amp fuse! If in doubt take it to an auto electrician...... The wiring needs to be correctly protected!

Your solution is a new combination switch,It also sounds like the hazard are activated and is non operation interfering with the brake light,but either way the solution is a combination swith

replace brake light switch down on the brake padel/has short in it

i have a 95 gmc suburban that keeps blowing the fuse when break is aplied i even disconected the back lights and it does the same what could it be

Hello,
I changed the tail lights of my wife's suburban which is the same as yours some few weeks ago,here is how i did it myself,although i'm a mechanic but its not technical;

STEP1. Two screws inside the tail gate jam.
STEP 2. Pry with fingers or something that won't scratch the paint the tail light out (Forward). try not to break anything

STEP 3. Good thing is the bulbs are interchangeable an they have multiple filaments in them. I was able to swap mine around for some bulbs with unused filaments.

STEP 4 Check all lights after replacement of course. Don't want to make your brake lights work and then your turn signal not work.
Problem solved.

Thanks for using fixya,have a nice day.

what about the sockets of the lights are they rusted in the contact spot and touching the 2 positive connections

check both brake lights for moisture getting into them.