1. Let's start with the basics of algebra, which is the branch of math dealing with symbols and the rules for manipulating those symbols. 2. The simplest algebraic expressions involve variables (like $x$ or $y$) and constants (numbers). 3. A common problem is solving equations, which means finding the value of the variable that makes the equation true. 4. For example, consider the equation $2x + 3 = 7$. 5. To solve for $x$, we want to isolate $x$ on one side of the equation. 6. First, subtract 3 from both sides: $$2x + 3 - 3 = 7 - 3$$ $$2x = 4$$ 7. Next, divide both sides by 2 to solve for $x$: $$\frac{\cancel{2}x}{\cancel{2}} = \frac{4}{2}$$ $$x = 2$$ 8. So, the solution is $x = 2$. 9. This process of isolating the variable by performing inverse operations (subtracting, dividing) is the key to solving basic algebra problems. 10. Remember, whatever you do to one side of the equation, you must do to the other side to keep it balanced. This is the foundation of algebra and will help you solve many types of problems.