Simplify: 0.2x + 4 - 0.8x = 2.5 - DevRocket
Simplify 0.2x + 4 - 0.8x = 2.5: A Step-by-Step Solution
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
Image Gallery
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:
📰 Skyrim Legendary Edition Item Codes 📰 Recruit Passcode Specialists Stellar Blade 📰 Pokemon Stadium New 📰 Storm Marvel Unleashedearthquake Level Chaos Most People Fear To Watch 5470274 📰 Woodbridge Nj 3876214 📰 Nature Of Mother 275269 📰 Marvels Dark Twist Unleashed Rise Of The Imperfects Disrupts The Universeyou Wont See This Coming 9297150 📰 5Heritage Meets Profit Hero Motocorps Stock Price Doubles In Weekly Swing Investorfrenzy 745075 📰 1990S Comedy Movies 8113578 📰 Mac Apps Games 8395954 📰 Kick Return Man 2 You Wont Believe How He Saved The Game In 5 Seconds 2814877 📰 Games Coming Out In November 2025 6576735 📰 Colorado Belle 8141500 📰 Binom62 0202 0804 15 Cdot 004 Cdot 04096 024576 6354304 📰 Fishers Community Center 9189396 📰 How Long Does The Sperm Live Outside The Body 2805050 📰 Gigabit Internet Verizon Fios 8201401 📰 Can Lucian Aram Change The Game Discover Whats Making Him Unstoppable 2232409Final 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.
