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

Simplify: 0.2x + 4 - 0.8x = 2.5

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

Continue Reading

Solution: We are given $ p + q = 5 $ and $ pq = 6 $. We use the identity:
p^3 + q^3 = (p + q)^3 - 3pq(p + q)
p^3 + q^3 = 5^3 - 3 \cdot 6 \cdot 5 = 125 - 90 = 35

🔗 Related Articles You Might Like:

📰 #### 97.20 📰 A train travels 180 miles in 3 hours. If it continues at the same speed, how long will it take to travel 420 miles? 📰 Speed of the train: 📰 One Piece Devil Fruits Shock Opens The One That Could Change The Entire Epic Forever 📰 One Piece Fans Never Saw This About 1 White Beard Ever 📰 One Piece Franky The Unsung Hero You Didnt Know You Needed Heres Why 📰 One Piece Fruits Are Everything Heres Why Theyre Taking Over Now 📰 One Piece Katakuri Exposedthis Cool Look Will Blow Your Mind 📰 One Piece Katakuri The Hidden Secret No Fan Should Missexplosive Details Inside 📰 One Piece Manga Finale The Myth The Legend And Why Youll Keep Reading 📰 One Piece Manga Secret Revealedwho Would Survive The Epic Final Battle Dont Miss 📰 One Piece Manga Shock The Hidden Masterpiece That Fans Cant Stop Talking About 📰 One Piece Manga Why This Classic Anime Manga Perfects Epic Storytelling Dont Miss 📰 One Piece Marcos Facts Everyone Is Raving Aboutdont Miss These Reveals 📰 One Piece Memes Youve Been Searching For Hilarious Fails And Iconic Gags 📰 One Piece Movie The Epic Finale That Fans Are Calling History In The Making 📰 One Piece Movie Trailer Exposes The Lost Treasure That Changed Everything Forever 📰 One Piece Nami Secrets Revealed The Secret Motive Behind Her Iconic Style

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.