Equation: 0.2x + 0.8(5 - x) = 0.5 * 5 - ToelettAPP
Solving the Linear Equation: 0.2x + 0.8(5 - x) = 0.5 × 5 – A Step-by-Step Guide
Solving the Linear Equation: 0.2x + 0.8(5 - x) = 0.5 × 5 – A Step-by-Step Guide
Understanding linear equations is a fundamental skill in algebra, essential for students and professionals alike. One commonly encountered equation is:
0.2x + 0.8(5 - x) = 0.5 × 5
Understanding the Context
In this comprehensive article, we’ll break down this equation step-by-step, solve it clearly, and explore its real-world applications. Whether you're preparing for exams, teaching algebra, or solving practical problems, this guide will help you master the equation.
Understanding the Equation
The equation
0.2x + 0.8(5 - x) = 0.5 × 5
combines linear expressions involving a variable x and arithmetic operations. Let's rewrite and simplify each side to clarify the problem.
Key Insights
First, simplify the right-hand side:
0.5 × 5 = 2.5
So, the equation becomes:
0.2x + 0.8(5 - x) = 2.5
Step 1: Expand the Parentheses
Distribute 0.8 across (5 - x):
0.8 × 5 = 4
0.8 × (-x) = -0.8x
Thus:
0.2x + (4 - 0.8x) = 2.5
🔗 Related Articles You Might Like:
📰 Did H13 Engines Unlock TLON’s Secret Talon-A Hypersonic Powerwave No One Said Coming 📰 Learn What Makes the Talon-A Fly Faster Than Supersonic 📰 This Hidden Talon-A Secret Could Change Warfare Forever—You Won’t Believe the Technology 📰 Gargoyles Tv Series Shocked Viewers These 5 Moments Are Unmissable 📰 Gargoyles Tv Series The Shocking Truth That Shocked Fans Forever 📰 Garlic Butter Chicken You Wont Believe How Easily Its Made 📰 Garlic Butter Steak Bites That Taste Like Luxuryheres How To Make Them 📰 Garlic Butter Steak Bites The Ultimate Budget Friendly Steak Bite Game Changer 📰 Garlic Confit That Turns Ordinary Dishes Into Restaurant Quality Masterpieces 📰 Garlic Confitpacked Pepper Sensationyour Kitchen Will Be Obsessed Overnight 📰 Garlic Jr The Secret Ingredient Hiding Behind Daily Kitchen Magic 📰 Garlic Jr The Smart Kitchen Hack Thats Taking The Internet By Storm 📰 Garlic Parmesan Cheeseburger Bombs The Secret Weapon For Burger Lovers Who Want To Shock 📰 Garlic Parmesan Cheeseburger Bombs The Ultimate Flavor Bomb You Need Instantly 📰 Garm Hidden Features That Will Supercharge Your Gaming Hiking And Running Routines 📰 Garm Uncovered This Fitness Gadget Is Changing The Way You Track Every Workout 📰 Garnachas The Hidden Ingredient Recipe Thats Blending Flavors Like Never Before 📰 Garnachas Uncovered The Secret Ingredient Thats Taking The Culinary World By StormFinal Thoughts
Step 2: Combine Like Terms
Combine the x terms:
0.2x - 0.8x = -0.6x
So:
-0.6x + 4 = 2.5
Step 3: Isolate the Variable Term
Subtract 4 from both sides:
-0.6x = 2.5 - 4
-0.6x = -1.5
Step 4: Solve for x
Divide both sides by -0.6:
x = -1.5 / (-0.6) = 2.5
