2x + 3(4x - 9) = 16 - AIKO, infinite ways to autonomy.
How to Solve 2x + 3(4x - 9) = 16: Step-by-Step Guide with Problem-Solving Tips
How to Solve 2x + 3(4x - 9) = 16: Step-by-Step Guide with Problem-Solving Tips
Mathematics often presents challenges, but solving equations like 2x + 3(4x - 9) = 16 doesn’t have to be tricky. Whether you're a student studying algebra, preparing for a math test, or simply looking to sharpen your equation-solving skills, this guide walks you through the process using a clear, structured method. Mastering this skill helps build problem-solving confidence and lays a strong foundation for algebra and beyond.
Understanding the Context
What Is the Equation?
We begin with the linear equation:
2x + 3(4x - 9) = 16
This equation combines a simple linear term (2x) with a distributed term (3 times a binomial). Solving it involves distributing, combining like terms, and isolating the variable — all key skills in algebra.
Image Gallery
Key Insights
Step 1: Distribute the 3 Across the Parentheses
The first move is to eliminate the parentheses by distributing the 3:
3 × 4x = 12x
3 × (−9) = −27
So the equation becomes:
2x + 12x - 27 = 16
Step 2: Combine Like Terms
🔗 Related Articles You Might Like:
📰 Linux Delete Folder and Contents 📰 Linux Directory Delete Command 📰 Linux Directory Remove 📰 Bloons Tower 3 Secrets Revealed Beat Every Boss Faster Than Ever 9134400 📰 Dragon Age 2 The Quick Reveal That Fans Have Been Cravingdont Miss The Moment 4657580 📰 This Nintendo Wii Games List Will Make You Relive Classic Multiplayer Memories Instantly 1076557 📰 Inscribed Angles 3444246 📰 Cast Of Thor 2017 2846067 📰 Caught Watching Adultsrachthis Is Where Desire Sparks 3050335 📰 A Telecom Churn Prediction Model Correctly Identifies 95 Of Actual Churners True Positives And Incorrectly Flags 3 Of Non Churners As Churn False Positives If 10 Of 10000 Customers Churn How Many Customers Are Flagged By The Model 4126561 📰 You Wont Believe What The Department Of Health And Human Services Hhs Is Planning For 2025 5984749 📰 Youll Never Guess How Chicken Cordon Blu Sauce Elevates Your Meals 6537453 📰 Your Ultimate Guide To Downloading Java Jdk 8 Simplified Super Quick 3583375 📰 5 Wait Only 4 Neededpick Your Favorite 8330209 📰 Southland Cast 4295723 📰 What Is A Lossless 3975724 📰 San Diego Ca To Los Angeles Ca 1369487 📰 Eine Lsung Enthlt 15 Salz Wenn 5 Kg Wasser Aus 20 Kg Dieser Lsung Verdampft Werden Wie Hoch Ist Der Neue Salzwasseranteil 7422059Final Thoughts
Now combine the x-terms on the left-hand side:
2x + 12x = 14x
Now the equation is:
14x - 27 = 16
Step 3: Isolate the Variable Term
Add 27 to both sides to move the constant to the right:
14x − 27 + 27 = 16 + 27
14x = 43
Step 4: Solve for x
Divide both sides by 14:
x = 43 ÷ 14
x = 43/14 (in simplest form)
You can also express it as a decimal: x ≈ 3.07 (rounded to two decimal places).
