0.05x + 800 - 0.08x = 680 - Dyverse
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:
📰 5, Pokémon Movie Explosion: Mew vs Mewtwo’s Battle Sweeps Audiences—This Clip Will Blow Your Mind! 📰 This Hidden Gem in Pokémon Nature Changes How You Train Forever! 📰 You Won’t Believe the Secret Pokémon in Nature That Surprised Gamers! Discover It Now! 📰 At X 1 F1 Rac211 1 Rac22 1 📰 Atexthexagon 6 Cdot Fracsqrt34 S2 6 Cdot 4Sqrt3 24Sqrt3 Text Cm2 📰 Atexttriangle Fracsqrt34 S2 Fracsqrt34 Cdot 16 4Sqrt3 Text Cm2 📰 Attention Fans Movierr Just Dropped Something Insane Dont Miss The Full Story 📰 Attention Home Decor Fans The Secret To Perfect Table Setup Meet The Napkin Holder Napkins 📰 Augmentation De 25 Du Taux De Production 📰 Average Calls Per Hour 360 25 144 📰 Average Daily Growth G G 2752 G 1375 📰 Average Daily Growth Initial Initial 275 2 Initial 1375 📰 Average Daily Growth R 1375 But R Is Unknown 📰 Average Rate R R 275 2 R 1375 📰 Average Speed Frac3504 875 Kmh 📰 Average Speed Frac5005 100 Kmh 📰 Average Speed Is Total Distance Divided By Total Time 📰 Avoid Cheap Stoneswhy This Moissanite Chain Is A Smart Luxury InvestmentFinal 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
