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

Remove Parentheses: Since we're adding the expressions, the parentheses don't affect the signs.
 (8x  5) + (2x + 7) = 8x  5  2x + 7

Combine Like Terms: Combine terms with the same variable ("x") and the constant terms:
 8x  2x  5 + 7

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.