In general terms, Algebra is "relational. " That is, the object of algebraic equations is to study the relationship between two subjects.
This is why algebraic equations usually have letters instead of numbers. The letters are a placeholder that allow us to focus on the operations and concepts involved. Though you could just as easily use everyday objects or names in place of letters.
For example, the (simple) equation A + B is asking us to study the relationship between A & B. We can't actually add A & B in reality - what's important is the relationship between them, which in this instance is the + operator. So, this equation is a study in addition.
I consistently failed maths during all of my school years - mainly because they tried to teach in numbers rather than concepts. I hope this helps you - if I had known this about algebra when I was in school it would have made it much easier!
Whatever you do to the left side of the equal sign, you have to do to the right side. Eventually, you will get to x = something.
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