How to Solve `3x - 2x - 5 = 7`: Step-by-Step Guide with Free Math Tips

Solving simple linear equations like 3x - 2x - 5 = 7 is a fundamental skill in algebra that helps build problem-solving confidence. Whether you're a student, teacher, or someone brushing up on math basics, this article walks you through solving the equation step by step, explains the logic behind each action, and provides practical tips to master similar problems.

Understanding the Context

Step 1: Understand the Equation

Begin by analyzing the equation:

3x - 2x - 5 = 7

This is a linear equation involving a single variable x. The goal is to isolate x on one side of the equation to find its value.

$3x - 2x - 5 = 7$

Key Insights

Step 2: Combine Like Terms

Simplify the left-hand side by combining like terms.

On the left: 3x - 2x
Since both terms contain x, subtract:
3x - 2x = x

Now rewrite the equation:

🔗 Related Articles You Might Like:

📰 Silky Chicken Secrets You’re Not Supposed to Know—Shocking Results Inside! 📰 Silky Chicken Caught Me Off Guard: Is This the Ultimate Poultry Game Changer? 📰 From Shiny Feathers to Calculated Choices: Why Silky Chicken Is a Game Changer 📰 Youre Obsessed With Marvel Jiajing Heres The Reveal You Never Saw Coming 📰 Youre Obsessed With Marvel Rivals Heres Why The Cast Is Top Tier Drama You Cant Miss 📰 Youre Shockedmario Kart 9 Release Date Just Dropped Full Details Revealed 📰 Youve Been Freaking Outlisten To Every Lyric Of Freak On A Leash By Korn 📰 Youve Been Hiding A Hidden Gem These Lyrics To My Heart Will Go On Are Unbelievable 📰 Youve Been Missing The Key To Your Male Body Typediscover It Now 📰 Youve Been Searching For Lounah Cafthis Hidden Gem Will Blow Your Mind 📰 Youve Been Searchinghere Are The Heart Wrenching Lyrics To Just Give Me A Reason 📰 Youve Never Heard Lyrics This Emotionalits Your Breath In Our Lungs Is Obsessive 📰 Z14 Overlinez14 1 1 2 📰 Z14 Overlinez14 Leftei Frac2Pi7Right14 Lefte I Frac2Pi7Right14 Ei 4Pi E I 4Pi 📰 Zemo Unleashed The Hidden Threat Behind Marvels Zemo That You Cant Ignore 📰 Zemos Dark Game The Untold Story Thats Changing Marvel Forever 📰 Tate Mcrae Nude Scandal Charges Public Outrage 📰 Banned Belt Pulse Like Lava Beneath The Feet Of Doubters

Final Thoughts

x - 5 = 7

Step 3: Isolate the Variable

To solve for x, eliminate the constant term on the left. Add 5 to both sides of the equation:

x - 5 + 5 = 7 + 5 x = 12

Step 4: Check the Solution

Plug x = 12 back into the original equation to verify:

3(12) - 2(12) - 5 = 7 36 - 24 - 5 = 7 7 = 7 ✅

The solution checks and confirms x = 12 is correct.

How to Solve 3x - 2x - 5 = 7: Step-by-Step Guide with Free Math Tips