Math Problem Statement

Simplify: 4x + 6(3x - 2)

Responses

A

10x - 12

10x - 12

B

18x - 12

18x - 12

C

22x - 12

22x - 12

D

30x2 - 20x

Solution

To simplify 4x+6(3x2)4x + 6(3x - 2), follow these steps:

Step 1: Distribute 66 to both terms inside the parentheses

6(3x2)=18x126(3x - 2) = 18x - 12

Step 2: Combine like terms

4x+18x124x + 18x - 12

Add 4x4x and 18x18x: 22x1222x - 12

Final Answer:

C. 22x1222x - 12


Do you want more details or have any further questions?

Related Questions:

  1. How do you distribute a number over terms in parentheses?
  2. Can you explain why 4x+18x4x + 18x becomes 22x22x?
  3. What are like terms, and how do you combine them?
  4. How can you verify simplifications step-by-step?
  5. Are there cases where this process would fail or need more care?

Tip:

Always distribute multiplication before combining like terms to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property
Combining Like Terms

Formulas

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

Theorems

Properties of Real Numbers

Suitable Grade Level

Grades 7-9