They're not going into your bank account.
Wage garnishments vary depending on your state (and what can be taken).
In this case, they've merely filed a suit to sue you..the judgment gets applied on the court date (which you should show up at, otherwise it's awarded by default).
First off, have they been calling you or is this the first time you've heard of this/them? If the latter, send the debt verification letter to prove they have the debt. I've done it with a couple of companies some months ago and I haven't heard back since...which tells me they aren't bothering to work on me, or they did in fact not have the debt in question to begin with. The naive and sheeple just pay them...only to have ANOTHER company down the road trying to collect on the same debt!
I just dealt with a company; tried to settle a ~$1400 small account for $500. 4 payments of $125. I was supposed to get a letter. 10 days after first payment (and before the 2nd) I didn't get it. So I blocked payments (it was on a card; never give out your bank account info! (they had asked too for it)) and sent off a letter to cease contact and apply what I've payed. Got roped into that one. Never again.
If it goes to court and you can show you can't pay it, the judgment just stays on your record or gets attached to any property you might have (which means it'll get paid from any sale proceeds of said place.
Can you settle it? Sure. 50% maximum should be your offer; less if you can pay it in one lump sum...and try low balling it around 1000-1500 first.
Don't mention the other card yet...they may or may not collect on that one. When you go through the case and show your financial statements, then include it in there.