The Dawn dish soap remedy pops up constantly as a miracle weed cure on Facebook pages devoted to gardening. There's some logic behind the concoction. The dish soap helps the mix stick and spread on leaves. Salt can be toxic to plants. And vinegar has been used to fight weeds, though usually horticultural vinegar, which has about four times the acetic acid of the vinegar we use in the kitchen. At 20 percent acetic acid, horticultural vinegar is dangerous enough that users are supposed to wear long sleeves, gloves and goggles to protect themselves from burns and splashes.
The dish soap mix is a contact herbicide that works by drying out the leaves of the plant. Like Roundup, the mix doesn't distinguish between good plants and bad plants, so if you decide to use it, watch where you spray it.
But like boiling water, this mix may kill only small weeds. Although results on bigger weeds look good at first when leaves show damage, perennial weeds and big weeds will likely bounce back. Roundup will take those weeds out, because it's a systemic product that, unlike the soap mix, will kill the root of the weed.
There's really nothing organic about the dish soap mix, either. All three main ingredients are chemicals, and one weed scientist who has written about it argues that toxicity levels in vinegar and salt may be higher than in glyphosate. (You can read his analysis here: weedcontrol-freaks.com/2014/06/salt-vinegar-and-glyphosate/)
The wild card in mixing your own "safe" weed killer is that people tend to get dangerously creative. I recently saw an online suggestion to add a cup of bleach to the dish soap mix, something that could not only create a toxic gas but that will permanently damage soil.
Lastly, the creeping Charlie question. The borax recipe came from research in Iowa and was embraced by homeowners because creeping Charlie is so hard to kill. While it's still floating out there as an option, it's no longer recommended by the University of Minnesota Extension. Borax, too, is a chemical. Use it more than twice to fight creeping Charlie, and it will kill your grass as well — lingering in the soil, and creating a dead zone where nothing else will grow.