\[ 3x - 2x - 5 = 7 \] - Roya Kabuki
How to Solve 3x - 2x - 5 = 7: Step-by-Step Guide with Free Math Tips
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.
Image Gallery
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:
📰 Avengers Infinity War Cast Revealed: The 5 Stars Who Saved (or Nearly Broken) the Universe! 📰 Full Avengers Infinity War Cast Lineup—Who Had the Most Unstoppable Moment? 📰 Hidden Genius Behind Avengers Infinity War Cast: You Won’t Recognize These Powerhouses! 📰 Claxon 6740508 📰 Woon Pasadena 7304866 📰 Paramount Hotel Hotel 6311112 📰 Yosemite National Park Ranger Fired 6087431 📰 Joe Millionaire Season 7619410 📰 Anime Crunchyroll Awards 302133 📰 Virgin Atlantic Stock 7731036 📰 Why This Soccer Head Stunt Changed How Players Trainspot The Hidden Genius 5437401 📰 Discover The Secret To Perfect Measurements With The Ultimate Real Size Ruler 660658 📰 Marvel Rivals Storage 8644201 📰 Explorer Browser Download 277144 📰 Best Cashback Credit Card 2025 9059838 📰 Hhs Nextgen Shock What This Shakeup Means For Future Ready Healthcare 727901 📰 Free Games You Can Play Online 7379864 📰 Answer 2333 9670164Final 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.
