Math Problem Statement

-2(-x-7)

Solution

To simplify the expression 2(x7)-2(-x-7):

Step-by-Step Simplification:

  1. Distribute the 2-2 to each term inside the parentheses: 2(x)+(2)(7)-2 \cdot (-x) + (-2) \cdot (-7)

  2. Simplify each term:

    • 2(x)=2x-2 \cdot (-x) = 2x
    • 2(7)=14-2 \cdot (-7) = 14
  3. Combine the results: 2x+142x + 14

Final Answer:

2x+142x + 14

Would you like a detailed explanation on any step or have any further questions?


Related Questions:

  1. How does the distributive property work in algebra?
  2. What happens when distributing a negative sign in algebra?
  3. How do you solve equations that involve parentheses?
  4. What are the common mistakes to avoid during distribution?
  5. How would you graph the expression 2x+142x + 14?

Tip: Always check your signs carefully when distributing negative numbers; it's a common source of mistakes!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8