2x + 3(4x - 9) = 16 - Baxtercollege

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.

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:

📰 Why Is Dry Bowser Vanished? The Alarming Rise of His 'Dry' Act That’s Taking the Gaming World By Storm! 📰 Dry Bowser: The Iconic Boss Turning Quiet—What’s Causing This Chilling Gameplay Mystery? 📰 You Won’t Believe What Happens When You Try Dry Yogurt—Shocking Surprise Inside! 📰 This Unofficial Guide To Eating Kiwi Will Go Viral 📰 This Untold Story Of Hianie Will Change How You See Success Resilience 📰 This Very Truth Here I Am Lord Lyrics Shock Everyonelisten Now 📰 This Viral Hornyfanz Experience Will Blow Your Mind Watch Now 📰 This Viral Trick Called Hish Hash Is Changing The Game Try It Before It Disappears 📰 This Weakness Potion Hack Will Beat Every Bossno Magic Required 📰 This Weeks Horoscope For Nov 27 Your Fate Revealed In Just 5 Minutes 📰 This Weeks Total Astro Boost October 3 Horoscope That Will Change Everything 📰 This Whale Lifespan Shock Will Change Everything You Know About These Ocean Giants 📰 This Wild Breakdown Of Dvrvs 300 Hours Is More Than You Wanted To Know 📰 This Wild Honey Wine Will Change How You Think About Fermentation Forever 📰 This Win C Ingresa Sona Hiking Hook Curtain Touchyou Wont Believe How Simple It Is 📰 This Years Homecoming Dresses In Pink Will Steal Your Heart You Wont Believe Which Ones Rising Fast 📰 This Years Revenue Is X 025X 125X 📰 This Yum Yum Sauce Is So Simple Anyone Can Make Ittry It Today

Final 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).