Math Problem Statement

5(x-7)

Solution

To simplify the expression 5(x7)5(x - 7), follow these steps:

  1. Distribute the 5 to both terms inside the parentheses: 5(x7)=5x575(x - 7) = 5 \cdot x - 5 \cdot 7
  2. Multiply the numbers: =5x35= 5x - 35

So, the simplified expression is 5x355x - 35.

Would you like further explanation or have any questions? Here are some follow-up questions:

  1. How do you solve for xx in an equation like 5x35=05x - 35 = 0?
  2. What would happen if you had a negative sign in front of the 5, like 5(x7)-5(x - 7)?
  3. Can you factor the expression 5x355x - 35 back into its original form?
  4. How would you apply this in a word problem context?
  5. How does distributing work in more complex algebraic expressions?

Tip: Always distribute each term separately to avoid mistakes when simplifying.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property

Formulas

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

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8