I correct hundred years old theory of charge distribution within an electrolytic solution surrounded by charged walls. Existing theory always implies excess amount of counter-ions (having polarity unlike walls) everywhere in the solution domain; so it cannot handle a solution that possesses excess ions of other type (co-ions) or is electrically neutral as a whole. Here, in the corrected distribution, counter-ions dominate near the walls, while the rest of the domain is allowed to be dominated by co-ions; the algebraic sum gives the net charge present, which can be of any sign and magnitude that makes theory quite general. This clarifies and raises many important concepts: a novel concept of `Electric Triple Layer' (ETL) replaces `Electric Double Layer' (EDL) theory; widths of electric layers can be calculated accurately instead of estimating by Debye length scale etc.