Understanding Equations: Finding the Value of x Made Easy

Ever find yourself staring at a math problem, wondering where to even start? Trust me; you're not alone! Today we're going to tackle a common type of equation that pops up in tests like the Accuplacer. We're focusing on how to find the value of ( x ) in the equation ( 50 - x - (3x + 2) = 0 ). Sounds tricky? Let’s break it down together!

Right off the bat, we notice that the equation involves subtracting multiple terms. The way to approach this is by simplifying what's inside the parentheses and then getting everything organized. Who knows, one day this knowledge might just come in handy when you’re trading numbers, or maybe managing your own budget. It’s all connected!

So, let’s kick things off with the given equation: [ 50 - x - (3x + 2) = 0 ].

Now, don’t panic! Distributing that negative sign will be our first step. You know what? Just simplify it like you're cleaning up a messy desk—don't overthink it! So, when we distribute, we get: [ 50 - x - 3x - 2 = 0 ].

Now, let’s tidy it up. If we combine our like terms, that looks like this: [ 50 - 2 - 4x = 0 ].

Isn’t it satisfying to see things come together? Now we can simplify that down to: [ 48 - 4x = 0 ].

Alright, we’ve done the hard work of simplifying; now it’s time to isolate the ( x ) term. Let’s move ( 4x ) to the other side of the equation—what would that leave us with? [ -4x = -48 ].

Dividing both sides by -4 gives us: [ x = 12 ].

Bam! We’ve solved for ( x ), and it turns out ( 12 ) is our answer. Just like opening a gift on your birthday, it can feel like a little surprise when you finally get the answer!

And remember, in this equation, we only focused on ( x ). You might have noticed I threw the values of ( y ) and ( z ) in there at the beginning, which is an easy mental hiccup. We didn’t need to worry about them this time because they didn’t factor into finding ( x )—the main player here.

So, whether you’re eyeing the Accuplacer or just brushing up on basic algebra, practice makes perfect. Keep solving more equations, and before you know it, you’ll be navigating through math like a pro. Every little step you take today builds the foundation for your future learning. Isn't that exciting?