Equation: 0.2x + 0.8(5 - x) = 0.5 * 5 - Richter Guitar
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:
📰 Dyna Blocks 📰 Roblox Unlock 📰 Kixgz Roblox 📰 Finesse Mitchell 6474586 📰 Hexed And Haunted Pack Fortnite 94174 📰 Git Desktop Download 9476725 📰 Log In To Fidelity Investmentsunlock Your Future With Million Dollar Potential 6706593 📰 From Heart To Cakehow This Dessert Glows On Social Media 6679291 📰 This Inch Worm Holds A Secret That Could Change Everything About How You Sleep 5229165 📰 Watch What Happens When This Uv Lamp Transforms Your Nails Forever 4914454 📰 Definition For Esteemed 2532696 📰 Call Spread Secrets How Traders Beat The Market With Precision Trading 4816172 📰 Whistleblowing Betrayal That Made The Headlineswhat Right World Leaders Fear Most 9569135 📰 Dollar To Ph 7683889 📰 Front Door Encryption Breakthrough Update Your Home Security Overnight 4932348 📰 Easy Oracle Express Edition Download Cut Out The Hype Grab It Fast 8872895 📰 Batman Arkham Collection 9600317 📰 This Salwar Suit Transforms Your Looksee The Instagram Hot Design Inside 4730725Final 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
