Simplifying Algebraic Expressions: (8x  5) + (2x + 7)
This article will guide you through simplifying the algebraic expression (8x  5) + (2x + 7).
Understanding the Basics
Before we start simplifying, let's understand a few key concepts:
 Like Terms: Terms with the same variable and exponent are considered like terms. For example, 8x and 2x are like terms.
 Combining Like Terms: We can combine like terms by adding or subtracting their coefficients.
Simplifying the Expression

Remove the parentheses: Since we are adding the two expressions, the parentheses do not change the order of operations. We can simply rewrite the expression as:
8x  5  2x + 7

Identify Like Terms: We have two sets of like terms:
 8x and 2x
 5 and 7

Combine Like Terms:
 8x  2x = 6x
 5 + 7 = 2

Write the Simplified Expression:
 6x + 2
Conclusion
Therefore, the simplified form of the expression (8x  5) + (2x + 7) is 6x + 2. Remember to always look for like terms and combine them to simplify algebraic expressions.