Cracking the Code: Solving \( 2(x - 3) = 10 \) Made Easy

    Let's take a closer look at the equation \( 2(x - 3) = 10 \). Sounds tricky, right? But hang tight—by the end of this guide, you'll find it not only makes sense but becomes a piece of cake! Whether you're knee-deep in prep for the Ontario Mathematics Proficiency or just brushing up your algebra skills, tackling equations is a skill worth mastering. 

    So, where do we begin? First off, our goal is to isolate \( x \). You might be wondering, “What does that even mean?” It simply means rearranging the equation so that \( x \) is all by itself on one side. A bit like cleaning your room—clear away the clutter until you find what you need! 

    To kick things off, we'll divide both sides of the equation by 2. So, we rewrite it as follows: 
    \[
    x - 3 = 5
    \]
    Here’s the thing: we performed division to make our lives easier! Next, it's time to expose \( x \) to the light. To do this, we add 3 to both sides. Simple, right? 

    Doing the math, we arrive at:
    \[
    x = 5 + 3
    \]
    Which brings us to:
    \[
    x = 8
    \]
    And voila! The solution pops out: \( x \) equals 8. If you substitute 8 back into the original equation, you’ll see that it holds true! Maintaining that balance is what solving equations is all about. 

    Now, let’s take a moment to reflect. You might wonder what happens if we plug in other answers? If you tried 5, 6, or 3—well, none of them satisfy the equation when you try to work your way through. It’s like trying to fit a square peg into a round hole—just doesn’t work! Therefore, 8 stands tall as the champion of solutions. 

    Understanding such concepts not only preps you for your tests but strengthens your math foundations for more complex problems. And hey, if you take these steps one by one, soon you'll not just solve these equations—you’ll understand them! That’s the beauty of math; it’s not just about getting the right answer, but also about grasping the why behind it. 

    The Ontario Mathematics Proficiency doesn’t have to be daunting. Remember, every formula has a story, and every solution opens up more questions to explore. So grab your pencil, tackle those equations, and watch your confidence soar! Who knew math could be a journey rather than just a destination?