Acidizing fluids may be formulated to minimize the detrimental effects of precipitation during an acidizing operation by promoting production of precipitates from a subterranean formation. Methods for acidizing a subterranean formation can comprise: providing an acidizing fluid comprising a stabilized microemulsion carrier fluid, a chelating agent, and an acid source; introducing the acidizing fluid into a subterranean formation; at least partially dissolving a surface in the subterranean formation with the acidizing fluid, thereby forming a spent fluid; and producing the spent fluid from the subterranean formation.