Math Problem Statement

3a+5-x+7x-2a combining like terms

Solution

To combine like terms in the expression 3a+5x+7x2a3a + 5 - x + 7x - 2a, follow these steps:

  1. Identify like terms:

    • The terms involving aa are 3a3a and 2a-2a.
    • The terms involving xx are x-x and 7x7x.
    • The constant term is 55.
  2. Combine the like terms:

    • For aa: 3a2a=1a=a3a - 2a = 1a = a
    • For xx: x+7x=6x-x + 7x = 6x
    • The constant term remains 55.
  3. Write the simplified expression: a+6x+5a + 6x + 5

So, the simplified expression is a+6x+5a + 6x + 5.

Would you like more details on any part of this process? Here are five related questions you might find interesting:

  1. How do you combine like terms in an equation involving multiple variables?
  2. What are the rules for combining like terms with different exponents?
  3. Can you explain the difference between like and unlike terms?
  4. How does distributing affect the combination of like terms?
  5. What is the significance of combining like terms in solving equations?

Tip: When combining like terms, always pay close attention to the signs (+ or -) in front of each term.

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Math Problem Analysis

Mathematical Concepts

Algebra
Combining like terms

Formulas

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Theorems

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Suitable Grade Level

Grades 7-9