0.05x + 800 - 0.08x = 680 - iBuildNew
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:
📰 Aff Website 📰 Affidavit of Domicile 📰 Affiliated Foods 📰 Stock Futures Pre Market 4686057 📰 Relive The Magicunbelievable Nintendo 64 Nintendo Games You Never Knew Existed 8826460 📰 Motorola Edge 2025 7436514 📰 Foods That Start With J 7141137 📰 The Ultimate List Of Forgotten Gems You Need To See Right Now 123442 📰 New Report Platinum Dunes And It Stuns Experts 📰 Official Update Games This Week And It Leaves Questions 📰 Eqt Stock Price Surge The Hidden Breaker You Cant Afford To Miss 7246706 📰 2 Microsoft Teams Analytics Revealed Boost Team Productivity Like Never Before 3166992 📰 Indiana Pacers Fans 1566788 📰 Pacific Drive Steam 📰 Unlock Pro Grade Editing With Imoviedownload The Top Iphone App Today 3068726 📰 Breaking Masayoshi Son Unveils Breakthrough Moveis Softbank Really Setting The Future Ablaze 7104857 📰 Chinese Yen To Dollar 2893197 📰 New Evidence How Much Can I Get Approved For Mortgage And The Fallout BeginsFinal 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
