Math Problem Statement

Simplify the expression:(3x-8)+(2x+5)-(4x-8)

Solution

To simplify the expression (3x8)+(2x+5)(4x8)(3x - 8) + (2x + 5) - (4x - 8), we follow these steps:

  1. Distribute the minus sign across the third group, (4x8)-(4x - 8). This will change the signs of each term inside the parentheses.

    (3x8)+(2x+5)4x+8(3x - 8) + (2x + 5) - 4x + 8

  2. Combine like terms:

    • Combine the xx-terms: 3x+2x4x=x3x + 2x - 4x = x
    • Combine the constant terms: 8+5+8=5-8 + 5 + 8 = 5

So, the simplified expression is:

x+5x + 5

Would you like further clarification or have any additional questions?

Related Questions:

  1. How do you handle terms with different powers of xx in similar expressions?
  2. What happens when you have more than one negative sign in an expression?
  3. Can you simplify an expression involving fractions in a similar way?
  4. How can you factor the expression x+5x + 5?
  5. What are the common mistakes to avoid when combining like terms?

Tip: Always remember to distribute the negative signs carefully when subtracting terms.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions
Combining Like Terms
Distributive Property

Formulas

Distributive property: a(b + c) = ab + ac
Combining like terms: ax + bx = (a+b)x

Theorems

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Suitable Grade Level

Grades 6-8