Math Problem Statement

2(3 - 4x) – 3(2x + 5) + 10x

Solution

Let's simplify the given expression step by step:

2(34x)3(2x+5)+10x2(3 - 4x) - 3(2x + 5) + 10x

Step 1: Distribute the constants

(2×3)+(2×4x)(3×2x)(3×5)+10x(2 \times 3) + (2 \times -4x) - (3 \times 2x) - (3 \times 5) + 10x

68x6x15+10x6 - 8x - 6x - 15 + 10x

Step 2: Combine like terms

  • Constant terms: 615=96 - 15 = -9
  • xx-terms: 8x6x+10x=4x-8x - 6x + 10x = -4x

Final Expression:

4x9-4x - 9

Final Answer:

4x9\mathbf{-4x - 9}

Would you like a detailed breakdown of any step?

Related Questions:

  1. How do you solve equations with parentheses and distribution?
  2. What are like terms, and how do you combine them?
  3. How do you factor out the greatest common factor in expressions?
  4. Can you solve for xx if given an equation like 4x9=0-4x - 9 = 0?
  5. How does the distributive property work in algebra?

Tip: Always distribute first before combining like terms to simplify expressions efficiently! 🚀

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Distributive Property

Formulas

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

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8