I will assume we are talking about women in America. I think that women ended up fighting for equal rights simply because it was time to do so.

Women are responsible for motivating other women to stand up for their rights. Susan B. Anthony and Elizabeth Cady Stanton founded the National Women's Suffrage Association in 1869. In 1869, Lucy Stone founded the American Women's Suffrage Association. These two groups later merged (consisting of both men and women) and formed the National American Women's Suffrage Association.

Later, during World War 1, President Wilson had announced that the purpose for the war was democracy. Women were outraged and wanted equal rights. It was not long after this that the 19th amendment was passed and women were allowed to vote.

The previous thoughts were quite lucid.  There has to be more detail in terms of the context and contingencies in which you seek analysis.  One can argue, though, that the desire for equality on a variety of levels such as political, social, and economic helps to fuel the fight for women's rights.  The voices of dissent usually share some common notes in this struggle.  The seeking of a redress to patriarchial structures, as well as the need for women's voices to be validated in the context of the modern setting helps to bring about a sense of motivation for women and men to rally around the cause of equal rights.  More detail would be needed in offering advice for a conclusion.  It should be consistent with what is written, but I do think it would be important to strike the chord that the fight for women's rights is a struggle and one that is not necessarily over.  As advances have been made, more is needed. While his words were meant for other reforms, Senator Kennedy's thoughts do linger in this context:  "The fight goes on, the cause endures, and the dream shall never die."

This depends on which point in time and which country you are talking about.  It differs according to both of these things.

The women's rights movement in the United States mostly got started because of the fact that women were getting involved in other reform movements.  Women got involved in such things as the abolitionist movement.  This led them to wonder why they should not have rights for themselves.  As they became more politically involved in fighting for various kinds of reforms, they came to think that they should have more rights of their own.