A Step-by-Step Approach to Solving 3x + 5 = 20

Understanding the Equation: 3x + 5 = 20

When it comes to tackling algebra, it’s all about the basics. One of the pivotal steps in solving equations like 3x + 5 = 20 involves understanding the role of each term. So, let’s break this down like a team coach explaining a game plan—you wouldn’t just jump into the middle of a game without knowing the strategy, right?

Let’s Dive Into the Details

Here’s the equation: 3x + 5 = 20. What do we want here? We want to isolate x. This means we’re trying to get x all by its lonesome on one side of the equation, kind of like clearing the field for a wide receiver to run toward the end zone!

Step One: Isolate x

You might ask, "What’s the first move?" Well, remember the order of operations? We’re going to start by getting rid of the constant on the left side, which in this case is 5. So, the right answer is:

• C. Isolate x by subtracting 5 from both sides.

Why do we subtract? Think about it as trying to tidy up a messy room, where x represents a special item you want to showcase. If there’s too much clutter (like that pesky number 5), you’ll never truly see x! By subtracting 5 from both sides, we effectively simplify this messy equation. Let’s do it:

3x + 5 - 5 = 20 - 5

And just like that, you get:

3x = 15

Now, What’s Next?

Now we’re in a better position! The equation is much cleaner. But we’re not done yet. We need to isolate x completely, and that leads us to the next step, which is dividing both sides by 3. This will finally give us the value of x.

Here’s how it looks:

3x / 3 = 15 / 3  

Which simplifies to:

x = 5

Why This Matters

Understanding how to isolate a variable is more than just solving this one equation—it's a fundamental skill that underpins much of algebra. Isn’t it fascinating how these small steps can lead to larger mathematical concepts? Tackling equations like this prepares you not just for the PERT (Postsecondary Education Readiness Test) but for a variety of scenarios in your academic journey.

The Takeaway

So, if you’re facing equations, remember: the goal is always the same—get your variable alone on one side. By mastering these steps, you chip away at the fear of algebra. Yes, it might seem daunting at first, but just like any skill, practice makes progress!

Next time you encounter a tricky equation, use this strategy. Start by isolating that variable. With each practice, you’ll find yourself more confident and ready to tackle whatever math challenges lie ahead. Happy solving!