Simplify 0.2x + 4 - 0.8x = 2.5: A Step-by-Step Solution

Solving linear equations is a fundamental skill in algebra, and understanding how to simplify expressions like 0.2x + 4 - 0.8x = 2.5 can make complex problems much easier to manage. Whether you're a student learning algebra or simply looking to improve your math skills, simplifying this equation step-by-step is key to mastering equation solving.

What Is the Equation?

Understanding the Context

We start with:
0.2x + 4 - 0.8x = 2.5

This expression involves combining like terms, isolating the variable x, and solving for its value — all essential steps in simplifying linear equations.

Step 1: Combine Like Terms

Key Insights

The left-hand side contains two terms with x: 0.2x and -0.8x. Combine these:

(0.2x - 0.8x) + 4 = 2.5
→ -0.6x + 4 = 2.5

Combining the coefficients gives -0.6x, simplifying the left-hand side.

Step 2: Isolate the Variable Term

🔗 Related Articles You Might Like:

📰 Cat’s Barf So White It Looks Like Snow—But Are White Foam & Vomit Dangerous? Read Now! 📰 This Cat Door Under the Window Will Turn Your Feline into a Freelance Explorer! 📰 Secret Cat Door for Windows: Let Your Cat Roam Freely—No More Closed Doors! 📰 Instant Pot Magic Black Eyed Peas Ready In Under 30 Minutes 📰 Instantly Boost Your Creativitydiscover The Secret Of A Superior Board Drawing Board 📰 Interactive Polls Asked Fans To Vote For Best Young Player Iraqs Waleed Salman And Irans Sajjad Rahim Surged In Voting 📰 Internalized Heroes 5 Borderlands 4 Characters That Will Change How You Play Forever 📰 Introducing The Most Stylish Boutonniere Secret Guaranteed To Impress 📰 Investment Required Per Startup 50000 📰 Iran Ali Nouri 18 Ownmio 72 Own 📰 Iraq 10 Iran 65 On Penalties 📰 Iraq 11 Iran 65 On Penalties 📰 Iraq 21 Iran 📰 Iraq Goalscorers Mustafa Mousavi 29 Own Ibrahim Ali 78 Stoppage 📰 Iraq Waleed Salman 104 Penalty 📰 Is Biscuite The New Snack God Trends Tastes And The Breakthrough Moment 📰 Is Bizzaro The Hidden Power Behind Your Smartest Decisions Find Out Now 📰 Is Black Moon Cosmetics The Future Of Dark Glam Beauty Find Out Here

Final Thoughts

Subtract 4 from both sides to move the constant to the right:

-0.6x = 2.5 - 4
-0.6x = -1.5

This step eliminates the constant, bringing cumbersome numbers close to zero for easier division.

Step 3: Solve for x

Now divide both sides by -0.6:

x = -1.5 / (-0.6)
x = 2.5

Final Answer:

x = 2.5

This solution confirms that when you simplify 0.2x + 4 - 0.8x = 2.5, you arrive cleanly at x = 2.5.