When you need to solve equations that have letters (which we call variables) on both sides, using the balance method is really helpful. The main idea is to keep both sides equal, just like keeping a scale balanced. Here’s how I usually go about solving these equations step-by-step:

1. Write down the equation: Make sure you have both sides clear. For example, let’s use this equation: $2x + 5 = x + 12$

2. Move the variable terms to one side: You can do this by adding or subtracting the variables from both sides. In our example, if we subtract $x$ from both sides, it would look like this: $2x - x + 5 = 12$ This simplifies to: $x + 5 = 12$

3. Move the number terms to the other side: Now, let’s isolate the variable. We can do this by moving the constant (the number). In our equation, we subtract $5$ from both sides: $x = 12 - 5$ This gives us: $x = 7$

4. Check your answer: Always put your answer back into the original equation to make sure it works:

   • For $x = 7$, the left side becomes $2(7) + 5 = 14 + 5 = 19$.
   • The right side becomes $7 + 12 = 19$. Since both sides are equal, we know we did it right!

5. Keep practicing: The more you practice this method, the easier it will be. You might see different kinds of equations, but the idea is always the same. Just remember, it’s like keeping weights balanced on a scale!

Happy solving!