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(2x-3)-(5x-6)

2 min read Jun 16, 2024
(2x-3)-(5x-6)

Simplifying the Expression (2x-3)-(5x-6)

This article will guide you through the process of simplifying the algebraic expression (2x-3)-(5x-6).

Understanding the Expression

The expression involves:

  • Variables: 'x' represents an unknown value.
  • Coefficients: Numbers that multiply the variables (2 and 5 in this case).
  • Constants: Numbers that stand alone (-3 and 6).
  • Parentheses: Indicate grouping and order of operations.

Simplifying the Expression

  1. Distribute the Negative Sign: The minus sign before the second set of parentheses means we multiply each term inside the parentheses by -1.

    (2x - 3) + (-1 * 5x) + (-1 * -6)

  2. Simplify:

    (2x - 3) - 5x + 6

  3. Combine Like Terms: Combine terms with the same variable (x) and terms without any variable (constants).

    (2x - 5x) + (-3 + 6)

  4. Calculate:

    -3x + 3

Final Result

The simplified form of the expression (2x-3)-(5x-6) is -3x + 3.

Key Takeaways

  • Remember to distribute the negative sign before parentheses.
  • Combine like terms to simplify the expression.
  • Pay attention to the signs of the coefficients and constants.

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