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.

Sample 7

Image Gallery

Sample 7
IMG20230225165940-600-800 hosted at ImgBB — ImgBB
Products
0 02 05 ...
0 02 05 ...

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.

Continue Reading

Sum Function in Excel
Sum If Excel
Sum If Formula

🔗 Related Articles You Might Like:

📰 This Homeflip Story Will Make You Throw Money at Real Estate—Are You Ready? 📰 Could I Profit $1 Million by Flipping This Undervalued Home? Qualified Investors Wont Miss This! 📰 From Flipped House to City PentHouse: The Inside Trick Behind This Epic $3M Flip! 📰 Unlock Infinite Wealth In A Single Golden Purse Clues Inside Are Irresistible 1455029 📰 Best Value Stocks 📰 Crossplay Multiplayer Games 📰 Verizon Steinway Street Astoria Ny 📰 New Bank Account Offer 📰 Clov Stock Price 📰 Off Steam Game 📰 Gaming Pc Free 📰 How To Hide Your Cell Phone Number 📰 Grey Roblox 📰 Router With Fios 2632699 📰 Claims Wells Fargo 📰 Prices Natural Gas 📰 Sizer Windows 📰 Usd To Uzs Rate Current

Final 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