Equation: 0.2x + 0.8(5 - x) = 0.5 * 5 - Coaching Toolbox
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:
📰 Download the Stunning Windows 11 Wallpaper That Everyones Suddenly Obsessed With! 📰 Discover the Secret Windows 11 Wallpaper Thats Taking Screenshots Everywhere! 📰 Windows 11 Wallpaper Hack You Need Right Now—Its Sharper, Brighter, and Irresistible! 📰 The Shocking Secret Behind 401K Match Contributions You Need To Know 7807345 📰 Apple Watch Se 4247417 📰 The Shocking Truth About Your Heart Rateget Your Bpm Checker Now Transform Your Health 4030062 📰 These Womens Gloves Are Taking Fashion By Stormdont Miss Them 4834780 📰 Inside The Teams Snapshot Game Changing News Everyones Talking About 5154751 📰 Growth That Lastidentify Long Term Stocks That Will Skyrocket Your Portfolio 7237608 📰 Breaking Clara Oswalds Secret Revealing Moment That Changed Everything 7621481 📰 No Portal Required Download Windows 10 Usb Drive Todaylimit Free Access 7913619 📰 Chill Zone Movies 3008789 📰 The Dark Secret Behind Richard Nixons Vice Presidency Nobody Watches 7585425 📰 Apply Corporate Credit Card 61078 📰 The Last Hero Of Nostalgaia 7356434 📰 Wildwood On The Lake Placid 3164981 📰 Are Mgk And Megan Fox Still Together 8086813 📰 Shoulder Rehab Exercises 5043095Final 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
