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:

📰 They’re All Different in Ways You Never Imagined—Discover Every Sonic Character! 📰 Shocking Traits! How Every Sonic Character Compares Across Decades! 📰 Unlock the Secrets: Every Sonic Character You Never Knew Existed! 📰 Shocking Study Reveals Sleepmor Mattresses Sleep 50 Better Than Competitorstry Them Now 📰 Shocking Surprise Sorry For Your Loss Messages That Will Make You Think Twice 📰 Shocking Taste Bomb 5 Surprising Reasons Siracha Sauce Is A Must Have 📰 Shocking Taste That Will Make You Crave Morewelcome To The Sriracha Hot Sauce Revolution 📰 Shocking Tech Hiding In Snake Eater Metal Gear How To Get Your Hands On It Now 📰 Shocking Tips Inside The Ultimate Slot Slot Game Guide 📰 Shocking Transformation Werewolf Secrets Thatll Blow Your Mind In Skyrim 📰 Shocking Trick Revealed The Ultimate Stylish No Show Sock Game 📰 Shocking Trick To Lock Out Bugs Without A Doordiscover The Sliding Screen Door 📰 Shocking Tricks About Sonic Characters That Will Blow Your Mind 📰 Shocking Truth About Solid Surface Countertops That Every Homeowner Should Know 📰 Shocking Truth About Solomon Grundy Why This Casino Legend Haunts Dreamers 📰 Shocking Truth About Somalias National Flag You Never Knew Discover Its Surprising Symbolism 📰 Shocking Truth About Sonic Chronicles The Dark Brotherhood You Never Checked 📰 Shocking Truth About Soul Eater Not That Even Fans Were Surprised By

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.