3x - 4 = x + 5 - Belip
Solve the Equation: 3x – 4 = x + 5 – A Simple Algebraic Guide
Solve the Equation: 3x – 4 = x + 5 – A Simple Algebraic Guide
Solving equations is a foundational skill in algebra, and one of the most common and helpful problems students face is 3x – 4 = x + 5. Whether you're a high school student, a self-learner, or a teacher, understanding how to solve linear equations like this is essential. In this article, we’ll walk through step-by-step instructions to solve 3x – 4 = x + 5, explore why it works, and share tips to master similar problems.
Understanding the Context
What Is the Equation 3x – 4 = x + 5?
The equation 3x – 4 = x + 5 is a linear equation involving a variable x on both sides. The goal is to isolate x on one side to find its value. Linear equations like this form the building blocks of algebra and are crucial for more advanced math such as systems of equations, graphing, and real-world problem solving.
Step-by-Step Solution
Image Gallery
Key Insights
Here’s how to solve 3x – 4 = x + 5:
Step 1: Move all x terms to one side
Subtract x from both sides:
3x – 4 – x = x + 5 – x
This simplifies to:
2x – 4 = 5
Step 2: Isolate the constant terms
Add 4 to both sides to move the constant:
2x – 4 + 4 = 5 + 4
Which simplifies to:
2x = 9
Step 3: Solve for x
Divide both sides by 2:
2x ÷ 2 = 9 ÷ 2
x = 9/2 or 4.5
🔗 Related Articles You Might Like:
📰 You Wont Believe How Easy It Is to Win $1 Million Playing Online—Test Your Chance Now! 📰 capture millions online! Discover How Who Wants to Be a Millionaire Changes the Game Forever! 📰 Who Needs Millions? Play Who Wants to Be a Millionaire Online and Win Big—Stop Dropping Terms! 📰 Lacrosse Scores 1048889 📰 What Is A Roth 401K 1475352 📰 Give Your Kid A Jumpstart The Best Basketball Games Designed Just For Kids 865569 📰 Pagar Verizon En Linea 5894612 📰 Home Dwpot 7959854 📰 Ice Tea The Person 4468875 📰 Browser Online Games 3378266 📰 Are Bats Mammals 2547706 📰 You Wont Believe How Fast You Can Switch English To Albanian With This Simple Trick 9584519 📰 You Wont Believe What Happened When Vtv Stock Soared 500 Overnight Brad Investors Are Shaking 2810811 📰 This Compact Vanity Hides More Space Than It Shows 5113348 📰 Ecstasy Vs Mdma 7703325 📰 Unlock Hidden Excel Power Sum Any Column With Just One Formula 3412369 📰 Is Drawful 2 The Ultimate Drawing Revolution Youve Been Waiting For 1782462 📰 A Pharmacologist Designs A Drug Cocktail Where Drug A Has A Half Life Of 4 Hours And Drug B Has A Half Life Of 9 Hours A Patient Receives Both Simultaneously At 800 Am With Initial Doses Of 200 Mg And 300 Mg Respectively How Much Of Drug A Remains At 500 Pm The Same Day 6476320Final Thoughts
Final Answer
➡️ x = 9⁄2
Or as a decimal:
➡️ x = 4.5
Why This Process Works
- Subtracting or adding the same value to both sides keeps the equation balanced.
- Moving like terms simplifies the expression and isolates the variable.
- Dividing both sides by the coefficient of x leaves the solution unchanged and reveals x.
How to Use This Equation in Real Life
Solving equations like this is not just for school — it’s used every day in:
- Budgeting (e.g., finding break-even points)
- Physics (calculating motion, force, or energy)
- Business analytics (revenue vs. cost comparisons)
- Programming (logic for conditionals and loops)
Mastering such problems trains your logical thinking and prepares you for more complex concepts.
