Math Problem Statement

6(4x + 3) - 5(2x - 1)

Solution

Let's solve the given expression step by step.

The expression is:

6(4x+3)5(2x1)6(4x + 3) - 5(2x - 1)

Step 1: Expand each term

Distribute the constants across the terms inside the parentheses:

6(4x)+6(3)5(2x)+5(1)6(4x) + 6(3) - 5(2x) + 5(1)

This simplifies to:

24x+1810x+524x + 18 - 10x + 5

Step 2: Combine like terms

Now, combine the terms with xx and the constant terms:

(24x10x)+(18+5)(24x - 10x) + (18 + 5)

This simplifies to:

14x+2314x + 23

Thus, the simplified expression is:

14x+2314x + 23

Would you like further details or have any questions about this process?


Here are 5 related questions you might find useful:

  1. How do you distribute a constant over multiple terms inside parentheses?
  2. What are like terms, and why is it important to combine them?
  3. How can this expression be used in solving equations?
  4. What happens if the expression involves more complex variables or exponents?
  5. How would this process change if negative numbers were involved?

Tip: Always expand and simplify expressions systematically to avoid errors, especially when dealing with negative signs or multiple terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property of Multiplication over Addition

Suitable Grade Level

Grades 6-8