0.05x + 800 - 0.08x = 680 - High Altitude Science
How to Solve the Equation 0.05x + 800 - 0.08x = 680: A Step-by-Step Guide
How to Solve the Equation 0.05x + 800 - 0.08x = 680: A Step-by-Step Guide
Mathematics often presents challenges in seemingly simple equations, but solving linear expressions like 0.05x + 800 - 0.08x = 680 can become intuitive with the right approach. In this article, we’ll break down how to solve this equation step-by-step, understand its structure, and explore real-world applications. Whether you're a student learning algebra or someone brushing up on equations, this guide will help you master solving 0.05x + 800 - 0.08x = 680 efficiently.
Understanding the Context
The Equation at a Glance
Start with the equation:
0.05x + 800 - 0.08x = 680
On the left-hand side, combine like terms involving x, while treating the constant 800 as a standalone value. This helps simplify the equation and isolate x for solving.
Image Gallery
Key Insights
Step 1: Combine Like Terms
Identify coefficients of x:
0.05x − 0.08x = (−0.08 + 0.05)x = −0.03x
So the equation becomes:
−0.03x + 800 = 680
This simplification reduces complexity and prepares the equation for the next step.
🔗 Related Articles You Might Like:
📰 Silent Stories: Real Lives That Changed the World Without a Word 📰 Behind the Silence: Forgotten Lives That Shaped History’s Darkness 📰 The Lives Silenced by Time: What Really Happened in Their Own Words 📰 Avernas Secret Whisper You Never Want To Hear Again 📰 Avgle Exposed The Hidden Truth Behind What Users Really Think 📰 Avgle Secrets Revealedwhy This Standard Is Far From Average 📰 Avid Boats Like These Make Ordinary Slides Look Like Casinos 📰 Avocado Oil Steals The Spotlightolive Oils Secret Downgrade 📰 Avocado Oil Vs Olive Oil The Truth Nobody Told You 📰 Avoid These Restaurants No One Talks Aboutthe Secret Eats Revolution Started Here 📰 Avtub Miracle Can Activate Like Never Beforewatch In Silence 📰 Await The Moment Awe Exhaustion Reveals The Awe Inspiring Secret Youve Been Fearing 📰 Awaken Your Life At The Ateez Tour 2025 This Is The Moment That Will Take Over Your Heart 📰 Awd Giving You Emptinessheres What It Really Means For True 4Wd Enthusiasts 📰 Awesome Hack You Wont Believe Exists For Apt 9 Devices 📰 Awius Shocked The Worldthis One Moment Previously Unseen 📰 Awius Stunned Everyonedo You Know What Happened Next 📰 Axbety Breaks Silenceyour Life Will Never Be The Same AgainFinal Thoughts
Step 2: Isolate the Variable Term
To solve for x, first subtract 800 from both sides:
−0.03x + 800 − 800 = 680 − 800
Resulting in:
−0.03x = −120
Now the variable term is isolated with a negative coefficient—this is normal in algebra and won’t affect the final solution.
Step 3: Solve for x
Divide both sides by −0.03:
x = −120 ÷ (−0.03)
x = 4000
This positive solution makes sense, especially in contextual problems like financial balancing or measurements.
Final Answer
✅ x = 4000
