Equation: 0.2x + 0.8(5 - x) = 0.5 * 5 - All Square Golf
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.
Image Gallery
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:
📰 How to Delete Second Page in Word 📰 How to Delete Section Break in Word 📰 How to Delete Sharepoint Site 📰 Easy Cow Drawing Tutorial That Even Beginners Will Master 7001872 📰 125 6397843 📰 Hyperlink In Word Like A Wizard Boost Your Documents Instantly 5782562 📰 Add Soul To Your Presentations The Hidden Power Of Music In Powerpoint 9856325 📰 Sas News 5349681 📰 Wells Fargo Bank Rutherfordton Nc 7729405 📰 Pizza Post 8517350 📰 Another Name For Ask 2661596 📰 Jon Hamm Wife 3182731 📰 Top Windows Apps 3035204 📰 How Many Episodes Are There For One Piece 210046 📰 The Surprising Hire Robin Jeans Have Taken Over Her Entire Wardrobe 1085927 📰 You Wont Believe What This String Cheese Does To Your Shelf Storage 2030509 📰 Guess Whats Inside This Low Cost Onion Ring Recipe Youll Crave Every Night 8538413 📰 Longhorn Steakhouse 24 Hour Closure 1520741Final 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
