Solving the Equation: Understanding 3x + 2 = 5

When tackling math problems, you often find that it’s not just about the numbers themselves but the methodology you use to reach the answer. Take, for instance, the equation ( 3x + 2 = 5 ). Sounds simple, right? But here’s the twist—understanding how to break it down can transform your math skills!

So, what’s the first step? Well, let’s think about it. To find the value of ( x ), we need to isolate it on one side of the equation. In our case, that means getting rid of the constant on the left side, which is ( 2 ). You know what? It’s a lot like decluttering a workspace; you want to make things clear so you can focus on what truly matters.

We accomplish this by subtracting ( 2 ) from both sides of the equation. This gives us:

[ 3x + 2 - 2 = 5 - 2 ]

Simplifying that gives:

[ 3x = 3 ]

Now, we’re in a much clearer area! Our next move is to divide both sides by ( 3 ), which literally means we’re splitting up the value equally. It’s akin to sharing a pizza; you want each slice to be fair—well, unless you’re really hungry!

So, we divide:

[ \frac{3x}{3} = \frac{3}{3} ]

This simplifies down to ( x = 1 ). Voila! But hang on; let’s just double-check if ( 1 ) is indeed the answer we’re looking for.

If we substitute ( x = 1 ) back into the original equation ( 3x + 2 = 5 ), we find:

[ 3(1) + 2 = 3 + 2 = 5 ]

Perfect! The left side equals the right side, which confirms we’re on the right track.

Now, you might wonder about the options presented earlier:

• Option A: ( 9 ) – Nope, doesn’t satisfy the equation.
• Option B: ( 4 ) – Close, but not quite right.
• Option C: ( 1 ) – Ding! We have a winner.
• Option D: ( 0 ) – Sorry, also doesn’t work here.

So, while option C is indeed the correct solution to our equation, it’s fascinating how a simple equation can have students second-guessing their math skills.

And that’s where practice comes into play! Engaging in regular exercises like this—and finding resources targeted at CLEP prep—can build your confidence and skill set. Don't forget to reach out to others or join study groups. Sometimes, sharing your thought process can shed light on new approaches you hadn’t considered.

Ultimately, cracking equations like this is a step towards conquering your math classes, and who knows? Maybe you’ll end up loving algebra along the way! So, the next time you encounter a tricky equation, remember: break it down step-by-step, keep it clear, and stay confident! Those small victories in solving problems will lead you to greater understanding and success.