Jasonbradley
Home

(8x-5)+(-2x+7)

2 min read Jun 16, 2024
(8x-5)+(-2x+7)

Simplifying Algebraic Expressions: (8x - 5) + (-2x + 7)

This article will guide you through simplifying the algebraic expression (8x - 5) + (-2x + 7).

Understanding the Expression

The expression involves:

  • Variables: "x" represents an unknown value.
  • Coefficients: The numbers multiplied by the variables (8 and -2).
  • Constants: The numbers without variables (-5 and 7).
  • Parentheses: They help group terms.

Simplifying the Expression

  1. Remove Parentheses: Since we're adding the expressions, the parentheses don't affect the signs.

    • (8x - 5) + (-2x + 7) = 8x - 5 - 2x + 7

  2. Combine Like Terms: Combine terms with the same variable ("x") and the constant terms:

    • 8x - 2x - 5 + 7

  3. Simplify:

    • 6x + 2

Final Result

Therefore, the simplified form of the expression (8x - 5) + (-2x + 7) is 6x + 2.

Key Points to Remember:

  • Combining Like Terms: You can only combine terms that have the same variable and exponent.
  • Order of Operations: Remember to follow the order of operations (PEMDAS/BODMAS) when simplifying complex expressions.
  • Practice: Regular practice with algebraic expressions helps you develop fluency and understanding.

Related Post

Featured Posts