x + (x+2) + (x+4) = 90 → 3x + 6 = 90 → 3x = 84 → x = 28. - RoadRUNNER Motorcycle Touring & Travel Magazine
Solving the Linear Equation: How to Solve x + (x + 2) + (x + 4) = 90 Step by Step
Solving the Linear Equation: How to Solve x + (x + 2) + (x + 4) = 90 Step by Step
Learning how to solve a simple linear equation is a fundamental skill in algebra, essential for mastering more advanced math concepts. One common type of problem involves combining like terms and isolating the variable using basic algebraic operations. In this article, we’ll walk through solving the equation:
x + (x + 2) + (x + 4) = 90
to find the value of x.
Understanding the Context
Why Solving Linear Equations Matters
Linear equations like this form the foundation of algebra. They appear in everyday problems, science, engineering, and finance. Understanding how to solve them step-by-step empowers students, professionals, and lifelong learners alike.
Step 1: Combine Like Terms
Start with the original equation:
x + (x + 2) + (x + 4) = 90
Notice that there are three terms containing x and two constant terms:
- x + x + x = 3x
- 2 + 4 = 6
Image Gallery
Key Insights
Adding these together gives:
3x + 6 = 90
This simplification is key—turning complexity into clarity.
Step 2: Isolate the Variable
Next, subtract 6 from both sides to eliminate the constant term on the left:
3x + 6 − 6 = 90 − 6
→ 3x = 84
This step relies on the concept of equality: whatever operation you perform on one side, you must do to the other.
🔗 Related Articles You Might Like:
📰 Shocking Truth About the Clock Emoji That Trending With Millions! 📰 From Fast to Fashion: The Clock Emoji Thats Five Stars in Endless Trends! 📰 Clock Flip Shock: How This Simple Trick Transformed Everyday Time Management! 📰 Word With Friends 📰 Burgundy Purse Simply Stunsheres Why Everyones Obsessed Shop The Trend 145666 📰 Stickman Parkour Secrets Watch How Pros Crush Glass Panelled Walls In Seconds 5171550 📰 Stop Worrying Just Follow These 5 Steps To Know Your 401K Balance Now 5564899 📰 Performant Stock 📰 Finally The No Nonsense Guide To Reading Java Files Faster Than Ever 67711 📰 Bag Ram 486726 📰 Honda Crv 2010 612918 📰 Transform Every Card Delivery Into A Win Secrets Of The Whist Card Game Revealed 3992920 📰 Npi Msr Revealed The Game Changing Innovation You Need To Know Now 4340177 📰 Whos Your Daddy In Roblox 1279449 📰 Lotto Payout Calculator 1537778 📰 Transform Speaking Clips Into Text Instantlypro Transcription Secrets Exposed 9144385 📰 Caitlyn Arcane 9705976 📰 Get Your Windows 8 Product Key Nowunlock Windows 8 Instantly With These Valid Keys 4637785Final Thoughts
Step 3: Solve for x
Now divide both sides by 3:
3x ÷ 3 = 84 ÷ 3
→ x = 28
This final step isolates x, giving us the solution.
Final Verification
It’s always wise to plug the answer back into the original equation:
x + (x + 2) + (x + 4) = 90
→ 28 + (28 + 2) + (28 + 4) = 28 + 30 + 32 = 90 ✔️
The equation holds true, confirming our solution.
Summary
The equation x + (x + 2) + (x + 4) = 90 simplifies using like terms, isolates the variable, and solves cleanly to x = 28. This method—combining terms, isolating x, and verifying—builds a strong framework for tackling all linear equations.
Related Topics
- How to simplify expressions with parentheses
- Understanding linear equations and their real-world applications
- Step-by-step guide to solving two-step equations
Mastering these basics will make advanced math far more approachable—and far more fun.
