Math Problem Statement

2(x-5)

Solution

To simplify the expression 2(x5)2(x - 5), distribute the 2 to both terms inside the parentheses:

2(x5)=2x25=2x102(x - 5) = 2 \cdot x - 2 \cdot 5 = 2x - 10

So, the simplified expression is 2x102x - 10.

Would you like further details or have any questions?

Here are some related questions:

  1. How do you factor expressions like 2x102x - 10?
  2. What happens if the expression inside the parentheses is more complex?
  3. How do you solve equations that involve expressions like 2(x5)2(x - 5)?
  4. Can this expression be set equal to a number to form an equation? How would you solve it?
  5. What are the properties of distribution in algebra?
  6. How does distribution work with subtraction and negative numbers?
  7. What if there is a coefficient inside the parentheses as well?
  8. How would this expression change if it were 3(x5)3(x - 5) instead?

Tip: Always distribute multiplication over addition or subtraction carefully to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8