Math Problem Statement

11x-(-3x)+43-(-29)-5x

Solution

Let's simplify the expression step by step:

The given expression is:

11x(3x)+43(29)5x11x - (-3x) + 43 - (-29) - 5x

Step 1: Remove parentheses

  • When subtracting a negative term, it becomes a positive: 11x+3x+43+295x11x + 3x + 43 + 29 - 5x

Step 2: Combine like terms

  • Combine the xx-terms: 11x+3x5x=9x11x + 3x - 5x = 9x
  • Combine the constant terms: 43+29=7243 + 29 = 72

Final expression:

9x+729x + 72

This is the simplified expression.

Would you like a more detailed explanation or have any questions?

Here are five related questions you might find helpful:

  1. How do you simplify more complex algebraic expressions?
  2. What are the rules for combining like terms?
  3. How do you solve an equation involving both variables and constants?
  4. How do negative signs affect terms in algebraic expressions?
  5. Can you factor the expression 9x+729x + 72?

Tip: Always double-check your signs when simplifying expressions, especially with negative numbers.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms
Handling Negative Numbers

Formulas

Simplification of algebraic expressions by combining like terms

Theorems

Rules of operations with negative numbers

Suitable Grade Level

Grades 6-8