Math Problem Statement

(21 − 2x) − (5 − 4x)

Solution

Let's simplify the expression step by step:

(212x)(54x)(21 - 2x) - (5 - 4x)

  1. Distribute the negative sign to the second parentheses:

212x5+4x21 - 2x - 5 + 4x

  1. Combine like terms:
    • Constant terms: 215=1621 - 5 = 16
    • xx-terms: 2x+4x=2x-2x + 4x = 2x

So the simplified expression is:

16+2x16 + 2x

Let me know if you'd like further clarification or have more questions!

Related questions:

  1. How do you factor the expression 16+2x16 + 2x?
  2. What happens if you set 16+2x=016 + 2x = 0 and solve for xx?
  3. How would you solve an equation like (53x)(72x)(5 - 3x) - (7 - 2x)?
  4. How can you graph the expression 16+2x16 + 2x?
  5. How do you solve a system of equations involving linear expressions?

Tip:

When simplifying expressions with parentheses, always distribute the signs first and then combine like terms for clarity!

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

Distributive Property
Combining Like Terms

Theorems

Distributive Property of Multiplication over Addition/Subtraction

Suitable Grade Level

Grades 7-9