Final answer:
Houston accomplished his main goal by using the court system to challenge racial segregation laws. He aimed to establish legal precedents that would undermine 'separate but equal' and aggressively defended Black people's rights to bring about equality through legal channels.
Step-by-step explanation:
One way Houston went about accomplishing his main goal was by strategically using the court system to challenge and dismantle the 'separate but equal' doctrine established by Plessy v. Ferguson. He understood that establishing legal precedents was essential in the fight for civil rights.
By gathering information for the defense of a Black man in Virginia accused of killing two White women, he and his close associate, Marshall, set to aggressively defend Black individuals in court aiming to extract equal rights from the U.S. Constitution and challenge a White racist system.
Houston's strategic approach involved meticulous case selection and fostering a pipeline of well-equipped African American lawyers to tackle these cases. Through careful planning and execution, Houston and his team methodically built a series of court victories that culminated in the landmark Brown v. Board of Education decision that ultimately overturned the Plessy ruling and made a significant advance in the fight for equal rights.