https://file.aiquickdraw.com/mathbot/file/17271809975117ip7tfxy.jpg

Let's simplify the expression \((8x - 5) + (-2x + 7)\).

1. First, group like terms:
   \[
   (8x - 2x) + (-5 + 7)
   \]

2. Simplify each part:
   \[
   8x - 2x = 6x
   \]
   \[
   -5 + 7 = 2
   \]

3. The simplified expression is:
   \[
   6x + 2
   \]

Thus, \((8x - 5) + (-2x + 7)\) simplifies to \(6x + 2\).

Would you like more details on any step? Here are 5 related questions you might want to explore:

1. How do you combine like terms in algebraic expressions?
2. What is the importance of parentheses in algebraic simplification?
3. Can the expression \(6x + 2\) be factored further?
4. What are common mistakes to avoid when simplifying algebraic expressions?
5. How does this example relate to solving linear equations?

**Tip:** When combining like terms, ensure you match both the variable part and the exponent to group them correctly.

Learn how to simplify the algebraic expression (8x - 5) + (-2x + 7). This step-by-step guide demonstrates the process of combining like terms, including variables and constants. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation