Math Problem Statement

4(2x-10)

Solution

To simplify the expression 4(2x10)4(2x - 10), we apply the distributive property:

4(2x10)=4×2x4×10=8x404(2x - 10) = 4 \times 2x - 4 \times 10 = 8x - 40

So, the simplified expression is:

8x408x - 40

Would you like any further details or clarifications? Here are 5 related questions to explore further:

  1. How do you solve equations involving parentheses like this one?
  2. What is the next step if you have an equation set equal to a number, like 8x40=08x - 40 = 0?
  3. How do you factor an expression like 8x408x - 40?
  4. How can you simplify more complex expressions with multiple variables?
  5. What is the distributive property, and why is it important in algebra?

Tip: When simplifying expressions, always distribute multiplication over addition or subtraction first before combining like terms!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8