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

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

Simplifying Algebraic Expressions: (2x-3)-(4x-5)-(-x+3)

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

Understanding the Problem

The expression involves several terms with variables and constants. We need to combine like terms to simplify it.

Steps to Simplify

  1. Distribute the negative signs: Remember that subtracting a term is the same as adding its negative. So, we have:

    (2x - 3) + (-1)(4x - 5) + (-1)(-x + 3)

  2. Multiply the negative signs:

    2x - 3 - 4x + 5 + x - 3

  3. Combine like terms: Group the 'x' terms together and the constant terms together.

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

  4. Simplify the expression:

    -x - 1

Final Result

Therefore, the simplified form of the expression (2x-3)-(4x-5)-(-x+3) is -x - 1.

Key Takeaways

  • Remember to distribute negative signs when simplifying expressions.
  • Combine like terms by grouping them together.
  • Pay attention to the signs of each term.

By following these steps, you can confidently simplify complex algebraic expressions.

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