Math Problem Statement

Perform the addition or subtraction and simplify. 9x − 3 x + 4 − 2

Solution

To simplify the given expression, let's break it down step by step.

Expression:

9x3(x+4)29x - 3 - (x + 4) - 2

Step 1: Distribute the negative sign to the terms inside the parentheses.

9x3x429x - 3 - x - 4 - 2

Step 2: Combine like terms.

  • Combine the xx terms: 9xx=8x9x - x = 8x
  • Combine the constant terms: 342=9-3 - 4 - 2 = -9

Simplified Expression:

8x98x - 9

So, the simplified form of the expression is 8x9\mathbf{8x - 9}.

Would you like more details, or do you have any questions?

Here are 5 related questions to consider:

  1. How do you distribute a negative sign across an expression in parentheses?
  2. What are the steps to combine like terms in an algebraic expression?
  3. Can you simplify the expression 7x+5(2x+3)7x + 5 - (2x + 3)?
  4. What is the importance of order of operations in simplifying expressions?
  5. How would you solve the equation 8x9=08x - 9 = 0?

Tip: Always remember to distribute negative signs and combine like terms to simplify algebraic expressions effectively.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

Distributive Property: a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8