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(-11/2x+3)-2(-11/4x-5/2)

2 min read Jun 16, 2024
(-11/2x+3)-2(-11/4x-5/2)

Simplifying Algebraic Expressions: A Step-by-Step Guide

This article will guide you through the process of simplifying the algebraic expression: (-11/2x+3)-2(-11/4x-5/2)

Understanding the Steps

Simplifying algebraic expressions involves combining like terms and removing unnecessary parentheses. Let's break down the steps:

  1. Distribute: Begin by distributing the -2 outside the second set of parentheses:

    • (-11/2x+3) + (22/4x + 10/2)

  2. Simplify Fractions: Reduce any fractions to their simplest forms:

    • (-11/2x + 3) + (11/2x + 5)

  3. Combine Like Terms: Identify and combine terms with the same variable and terms without variables (constants):

    • (-11/2x + 11/2x) + (3 + 5)

  4. Final Result: Simplify the expression:

    • 0 + 8
    • 8

Conclusion

Therefore, the simplified form of the expression (-11/2x+3)-2(-11/4x-5/2) is 8.

Remember that simplifying expressions often involves applying the order of operations (PEMDAS/BODMAS) and understanding basic algebraic principles like the distributive property.

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