(2x+1/2x-1-2x-1/2x+1) 4x/10x-5

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Jun 09, 2024

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Simplifying Algebraic Expressions: A Step-by-Step Guide

In this article, we will simplify the algebraic expression (2x+1/2x-1-2x-1/2x+1) 4x/10x-5 step by step.

Step 1: Simplify the Expression Inside the Parentheses

First, let's simplify the expression inside the parentheses:

2x + 1/2x - 1 - 2x - 1/2x + 1

Combine like terms:

-1 + 1 = 0 (the constants cancel out)

2x - 2x = 0 (the x terms cancel out)

1/2x - 1/2x = 0 (the fractions with x cancel out)

So, the expression inside the parentheses simplifies to 0.

Step 2: Simplify the Remaining Expression

Now, let's simplify the remaining expression:

0 \* 4x / 10x - 5

Since the expression inside the parentheses is 0, the entire expression becomes:

0 - 5

Which simplifies to:

-5

Final Answer

The simplified expression is -5.

In conclusion, we have successfully simplified the algebraic expression (2x+1/2x-1-2x-1/2x+1) 4x/10x-5 to -5.