Equation: x + (x + 2) + (x + 4) = 90 - Decision Point
Solving the Equation: x + (x + 2) + (x + 4) = 90
Solving the Equation: x + (x + 2) + (x + 4) = 90
Mathematics may seem daunting at times, but equations like x + (x + 2) + (x + 4) = 90 reveal how logic and algebra simplify real-world problems. In this article, we break down how to solve this equation step-by-step, explore its meaning, and show why understanding such equations is valuable in both school and daily life. Whether you're a student preparing for exams, a teacher designing lessons, or someone simply curious about problem-solving, this guide offers clear insights into solving one of the most common linear equations.
Understanding the Context
What Is the Equation?
The equation you’ll explore is:
x + (x + 2) + (x + 4) = 90
At first glance, it might look complex because of the parentheses, but a closer look reveals it’s a simple linear equation. By combining like terms and isolating the variable, we uncover the value of x, the unknown key to balancing both sides.
Image Gallery
Key Insights
Step-by-Step Solution
To solve x + (x + 2) + (x + 4) = 90, follow these straightforward algebraic steps:
Step 1: Remove Parentheses and Combine Like Terms
First, expand the expression inside the parentheses and collect all x-terms and constant terms on the left side:
x + x + 2 + x + 4 = 90
Combine like terms:
( x + x + x ) + (2 + 4) = 90
3x + 6 = 90
Step 2: Isolate the Variable
Subtract 6 from both sides to move constants to the right:
3x = 90 - 6
3x = 84
🔗 Related Articles You Might Like:
📰 Inside the Cloyster: A Strange Discovery That’s Defying All Logic (You Won’t Believe It) 📰 Step Into the Cloyster—This Forbidden Space Is Full of Twists You Can’t Ignore! 📰 Discover the Shocking Truth: Meet the Clown Loach Species That’ll Leave You Speechless! 📰 50 Million Gamers Are Raving About The Epic 30Th Anniversary Ps5 Controller You Need This 8327100 📰 The Revolutionary Oracle Symphonic Pos System You Need To Skyrocket Your Sales 3604035 📰 This Nintendo Customer Service Hack Saved My Game Dont Miss It 4114785 📰 Grab Your Personal Month Calendarorder Now Stay Organized 1538442 📰 Panleu Virus The Hidden Epidemic Deeply Infecting Our Future Before You Notice 7078520 📰 Top Rated Back Pillow Revealed The Soft One Everyone Wants In Their Bedroom 3450925 📰 Rare Irresistible The Ultimate Collection Of Unique Engagement Rings You Cant Miss 996360 📰 Raleys Nob Hill Foods 5863127 📰 Zombie Apocalypse Will It Happen 9964571 📰 Rustdesk For Mac 4027191 📰 You Wont Believe How 99 Math Join Transformed Your Grade 6 Results 6070328 📰 Unclutter Mac 6077064 📰 Deciliter 9869267 📰 Door Dash App Breaks Delivery Timessee How Delivery Drivers Now Dominate 6805905 📰 These Driving Empire Codes Will Make Your Ride Unstoppable Forever 4523696Final Thoughts
Step 3: Solve for x
Divide both sides by 3:
x = 84 ÷ 3
x = 28
What Does x = 28 Mean?
Substitute x = 28 back into the original equation to verify:
28 + (28 + 2) + (28 + 4) = 28 + 30 + 32 = 90 ✔️
This confirms the solution. The equation balances exactly when x equals 28, transforming left-side terms into a total of 90 through simple arithmetic and algebraic simplification.
Why This Equation Matters
Understanding how to solve equations like x + (x + 2) + (x + 4) = 90 builds foundational algebra skills. Real-world applications include:
- Budgeting: Comparing incremental expenses.
- Physics: Calculating motion with equally spaced time intervals.
- Education: Designing smart age or score problems.
Mastering step-by-step solving fosters logical thinking and problem-solving confidence, valuable in STEM fields, data analysis, and daily decision-making.
