What does it mean to solve a problem algebraically?

Hint: When two algebraic expressions are connected by an equality symbol, the result is an algebraic equation. The mathematical operations of addition, subtraction, multiplication, and division are used in the fundamentals of algebra. These operations are carried out on variables and constants in equations.

Complete step-by-step solution:
Letters are used in algebra to denote the presence of an undefined attribute. These letters can be mixed in a variety of ways to produce known values.
Configuration is divided into two groups:
>Expression: There is no equals sign in this set of numbers and letters. This is just a statement; it isn't really close to being solvable.
>Equation: This has an equivalent symbol, which means that everything on one side of the equals is exactly the same inherent value as everything on the other side.
The thing is, anything can seem to be completely different but still having the same meaning. Take the number three, for example$(3)$. On the other hand ( 5-2 ) does not seem to be the same, but its intrinsic value is the same. So, on one side of an equals symbol, we have one kind of configuration and another type of configuration on the other side.
To get a solution, we switch everything about in a mathematically right manner until we just have one of what we're looking for on one side of the equals and everything else on the other.
For example, consider an equation $x + 2 = 5$. Here, we should find the value of $x$.So we will keep the $x$ variable on one side and all other numbers on the other side. Then the equation is:
$ x + 2 = 5 \\
  x = 5 - 2 \\
x = 3 $
Hence, this is an example of solving a problem algebraically.

Note: Variables are represented by letters in algebraic expressions. These letters are simply numbers that have been disguised as letters. The variables in this expression are x and y. We call these letters "variables" since the numbers they represent will change—that is, we can replace the letters in the expression with one or more numbers.