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:

📰 How Inca Kola’s Ingredients Could Change Everything You Thought About This Drink 📰 The Bizarre and Hidden Ingredients Locking Secrets of Inca Kola Forever 📰 You Won’t Believe What’s Inside Inca Kola—Its Most Shocking Ingredients Exposed 📰 Bowser Costume Secrets Revealednow You Can Steal The Spotlight 📰 Bowser Doug Shocked Fans With His Giant Returnyou Wont Believe What Happened Next 📰 Bowser En Attack How This Villain Went From Gaming Villain To Legend 📰 Bowser En Revealed The Hidden Power That Will Shock You 📰 Bowser In Mario Games The Hidden Boss Everyone Forgets But You Need To Watch 📰 Bowser Invades Mario World Againthe Scariest Villain Still Dominating Gameplay 📰 Bowser Ruins Mario Games Hes Slayer Level Infamous Heres How 📰 Bowser Unleashed The Legendary Villains Shocking Secret Outside The Mushroom Kingdom 📰 Bowsers Castle Hides A Devastating Twist You Wont Believe Exists Inside 📰 Bowsers Castle Revealed The Hidden Secrets That Will Shock Every Gamer 📰 Bowsers Hidden Motivethe Epic Story Youve Been Wrong About 📰 Bowsers Inside Story Revealed The Hidden Motives Behind His Villainous Empire 📰 Bowsers Inside Story Secrets No Keeper Ever Revealed You Wont Believe What He Really Thinks 📰 Bowsers Molestion In Mario Games The Ultimate Villain You Cant Ignore 📰 Bowsers Origins Unveiled The Shocking Twist To His Classic Story

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