Answer:
The answer is much more complicated then whether or not "capitalism" is the great equalizer or not. Capitalism, does not, in fact, directly act as the great equalizer. An equalizer, in the most direct sense of definition, implies the usage of "equalizing", or putting all sides on level playing field. Capitalism does not directly exemplify the given definition, rather, it is exemplified in the ideal. If you were to go into depth of what is the greatest direct equalizer of the common folk, it would instead be that of a Communist ideal. Communism acts as a tangible equalizer in the restriction of both personal choices, as well as availability of choice, whether within one's lifestyle, in the products one can own and procure, as well as with one's ideal. Instead, Capitalism acts as the great equalizer in presenting what is seemingly equal opportunities. In this definition, it provides each individual equality, or the option to obtain the same resources and opportunities. For example, they may take part in public education, have the option to take part in societal-sanctioned activities that can procure them wealth, such as the stock market. However, it is important to note that while there may seem to be equal opportunities to all people, it may take different amounts of leverage from different people depending on their life. It is not the same for all people, and individuals would still have individual experiences on what "equality" can be. This is also known as Equity, where each individual has different circumstances, and must be able to make use of what they have to reach a comparable outcome to others.
Now, Capitalism is different to other forms of economic system, because it actually provides such opportunities. In comparison, Communism provides equal opportunity for little to no choices, while older systems such as the class system provides opportunity based on what class one was assigned too. As such, capitalism is as close to being a equalizer as compared to other systems, while allowing people to build a more financially stable life.