Combining like terms is an important step in solving algebra problems. It helps us simplify expressions, making them easier to handle.

In algebra, like terms are numbers or variables that are the same. For example, $2x$ and $3x$ are like terms because they both have the same variable, (x). When we combine these terms, we make our equations simpler. This helps us understand them better and makes solving problems easier.

Let’s look at the equation $3x + 5 - 2x + 7 = 0$.

To simplify, we first combine $3x$ and $-2x$. When we do this, we get $x$.

Next, we add the numbers $5$ and $7$ together, which gives us $12$.

Now, our new equation is $x + 12 = 0$.

This simpler version makes it easier to see how the terms relate to each other.

Also, combining like terms helps us avoid mistakes. When equations have a lot of different terms, it’s easy to get confused and mess up. By carefully combining like terms, we can reduce the chance of making errors.

This process is important when we need to rearrange equations to solve for a specific variable. For example, if we want to find out what (x) is in terms of another number, having a clear and simple equation makes it much easier.

In short, combining like terms is more than just a small step in solving math problems. It is a key skill that helps us be clearer, more accurate, and work faster in algebra. As students continue learning math, getting good at this skill will help them tackle more complicated topics later on.