Simplify: 0.2x + 4 - 0.8x = 2.5

February 22, 2026

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?

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

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

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.

Why Simplifying Equations Matters

Simplifying compound expressions like 0.2x - 0.8x turns complex looking equations into manageable forms. This technique strengthens your algebraic foundation, improves problem-solving speed, and boosts confidence in math.

Tips for Solving Similar Equations

Always combine like terms first (e.g., x terms, constant terms).
Keep track of signs when moving terms across the equals sign.
Use division carefully with negative coefficients to avoid sign errors.

Whether you’re answering homework or preparing for exams, simplifying equations like 0.2x + 4 - 0.8x = 2.5 isn’t just about getting the right number — it’s about mastering a critical algebraic process.

Try it today, simplify step-by-step, and watch your confidence grow!