Simplifying Algebraic Expressions: (0.2x-3)-(x-2)-(0.4x-1)
In this article, we will simplify the algebraic expression (0.2x-3)-(x-2)-(0.4x-1)
. To do this, we need to follow the order of operations (PEMDAS) and combine like terms.
Step 1: Expand the Parentheses
First, let's expand the parentheses by multiplying the numbers outside the parentheses with the terms inside:
(0.2x-3)-(x-2)-(0.4x-1) = 0.2x - 3 - x + 2 - 0.4x + 1
Step 2: Combine Like Terms
Next, we need to combine the like terms:
-x + 0.2x - 0.4x = -0.2x
(combine the x terms)
-3 + 2 + 1 = 0
(combine the constant terms)
Now, let's rewrite the expression:
-0.2x + 0
Simplified Expression
The simplified expression is -0.2x
.