Math Problem Statement

X+x-3+2(x-3)

Solution

Let's simplify the expression X+x3+2(x3)X + x - 3 + 2(x - 3).

  1. Distribute the 2 across the (x3)(x - 3): 2(x3)=2x62(x - 3) = 2x - 6 Now the expression becomes: X+x3+2x6X + x - 3 + 2x - 6

  2. Combine like terms: X+(x+2x)(3+6)X + (x + 2x) - (3 + 6) This simplifies to: X+3x9X + 3x - 9

So, the simplified expression is: X+3x9X + 3x - 9

Would you like more details on any part of this?

Here are some related questions:

  1. What happens if you substitute values for XX and xx?
  2. How do you solve an equation if this expression equals a constant?
  3. What if you had a coefficient in front of XX (e.g., 2X2X)?
  4. Can you graph this expression for specific values of XX and xx?
  5. How does this expression change if you substitute xx with yy?

Tip: Always combine like terms to simplify an expression step by step, making it easier to solve or analyze.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplifying Expressions
Combining Like Terms

Formulas

Distributive property a(b + c) = ab + ac

Theorems

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Suitable Grade Level

Grades 6-8