Generally, water is the "universal solvent",
and water will disolve low-molecular-weight-organic-acids,
but NOT high-molecular-weight-organic-acids.
Various lower-molecular-weight/simpler-alcohols are the next-most universal-solvents,
and usually will disolve a few-more organic-acids than water.
Remember the rule that like dissolves like. If a substance you are looking to dissolve has a low pH, the proper solvent you should use will likely have the same properties as well. You may want to consult a reference book such as Perry's or one of the chemical guides.
Like disolves like, so most organic compounds are dissolved in other organic solvents. Such as Acetone or dichloromethane. If you want to neutralize an acid, even organic acids can be neutralized with sodium hydroxide or acetic acid. The strength of the acid itself would depend on which base you used and what amount.