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:

📰 Résolvez pour $ x $: $ x = \frac{180 000}{1,20} = 150 000 $. 📰 #### 150 000 $ 📰 Un triangle a des côtés de longueurs 7 cm, 24 cm et 25 cm. Déterminez s'il s'agit d'un triangle rectangle. 📰 Sweetheart Neckline Dress This Style Is The Ultimate Secret To Stunning Nights Out 📰 Sweetheart Neckline Secrets The Secret To Effortless Glam In One Simple Design 📰 Sweetheart Revealed The One Youve Always Dreamed Of Calling Your Own 📰 Sweetheart Secrets You Never Knew Will Change Your Life Forever 📰 Sweetie Belle Shocked The Worldwhat This Iconic Name Reveals About Her Magic 📰 Sweetie Belle The Hidden Truth Behind The Name That Captured A Generation 📰 Swim In Style Ladies Swimming Trunk That Fits Like A Glove Safe Slim 📰 Swim Party Hacks No One Mentionedboost Your Party To Record Level Fun Now 📰 Swim Party Secrets How To Throw The Ultimate Summer Gout With Never Before Seen Fun 📰 Swimming Clipart Hacks Everyones Using Download Now For Eye Catching Designs Instantly 📰 Swimming Clipart Thatll Make Your Projects Pop Shocking Designs You Never Knew You Needed 📰 Swimming Pool Ladders For Above Ground Heres The Best One You Can Buy Now 📰 Swimsuits Designed For Seniors The Ultimate Guide To Perfect Fit Fashion That Glows 📰 Swingtown Secrets Hidden Gems That Will Shock You 📰 Swingtowns The Untamed Cities Where Adventure Goals Are Achieved

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.