Question
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To solve the equation:
Step 1: Expand both sides
Expand the left side:
Expand the right side:
Step 2: Set the expanded equations equal to each other
Step 3: Move all terms involving
to one side and constants to the other
Subtract from both sides:
Subtract
Subtract
from both sides:
Step 4: Solve for
Simplify the fraction by dividing both numerator and denominator by 3:
Final Answer:
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
Let’s first simplify the equation. Distributing on both sides, we get:
Now, let’s move all terms involving
to one side and constant terms to the other side:
Combining like terms gives us:
Now, to solve for
, we can divide both sides by
:
And there you have it! The solution to the equation is
.
Now, let’s spice up that math with some context and tricks!
Ever wondered how basic algebra sows the seeds for complex industries? Think about it: engineers, designers, and even game developers all rely on these fundamental skills to innovate and solve real-world challenges. With a solid grasp of equations, you’re one step closer to building your dream project or even creating the next blockbuster video game!
As you tackle equations like the one above, be aware of some common pitfalls—like forgetting to distribute correctly or mismanaging negative signs! Double-checking each step ensures you catch mistakes that can turn a straightforward problem into a head-scratcher. Keep reminding yourself: slow and steady wins the race in math, so take your time!