Math Problem Statement

simplify the expression: 5(3x - 4)

Solution

To simplify the expression 5(3x4)5(3x - 4), distribute the 55 across the terms inside the parentheses:

5(3x4)=53x545(3x - 4) = 5 \cdot 3x - 5 \cdot 4

=15x20= 15x - 20

Final Answer:

15x2015x - 20

Would you like further explanation on the steps?


5 Related Questions:

  1. How do you simplify an expression with multiple parentheses?
  2. What is the distributive property, and why is it important?
  3. How do you factor an expression like 15x2015x - 20?
  4. How would the simplification change if it were 5(3x+4)5(3x + 4)?
  5. Can this expression be solved for xx if given an equation?

Tip:

Always check if the terms in your final expression can be factored further for more compact representations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8