Equation: 0.2x + 0.8(5 - x) = 0.5 * 5 - Malaeb
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:
📰 kevin james net worth 📰 kevin michael richardson 📰 kevin michael richardson movies and tv shows 📰 Southside Banks Latest Trick Leaves Entire Southside Considering Changing Favorites 6676909 📰 Download Trello For Mac 4202812 📰 5 Make Your Own Bolt Gun Revolutionary Design Sold Now 4002973 📰 Calculate The Area 18 Imes 6 108 7585827 📰 5 Game Forever Epic Moments From Gta3 That Will Make You Relive It Flagging 726665 📰 Kim Scott Mathers 9728462 📰 Metrics Seo 9860603 📰 Flight Fees Exposed Voo Fee Secrets You Need To See Now 3959097 📰 You Wont Believe What Happens When Chainsaw Man Takes Over Your Night 6450267 📰 Doofus Uncovered The Rookie Mistakes That Will Leave You Rolling In Laughter 5151182 📰 Shocking Blast Rocks Downtowndid Las Vegas Just Fire 2736845 📰 60 Minutes Cecot 45366 📰 What 2 Qt To Oz Actually Costs Unlock 100 In Saving Youve Been Missing 2977437 📰 A Royal Montana Christmas Cast 3185734 📰 Seedling Oil Exposed The Simple Fix For Your Failing Plants 5405154Final 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
