Math Problem Statement

-8/2(2x-8-4)

Solution

To evaluate the expression 82(2x84)-\frac{8}{2}(2x - 8 - 4), let's break it down step-by-step:

  1. Simplify the division: 82=4-\frac{8}{2} = -4

    So the expression becomes: 4(2x84)-4(2x - 8 - 4)

  2. Combine terms inside the parentheses: Inside the parentheses, we have: 2x84=2x122x - 8 - 4 = 2x - 12

    Substituting back, we get: 4(2x12)-4(2x - 12)

  3. Distribute 4-4 across each term in the parentheses: 42x=8x-4 \cdot 2x = -8x 4(12)=+48-4 \cdot (-12) = +48

    Therefore, the expression simplifies to: 8x+48-8x + 48

Final Answer:

8x+48-8x + 48

Would you like a more detailed breakdown of each step, or do you have any questions?

Here are some related questions for practice:

  1. Simplify 6/3(3x6+2)-6/3(3x - 6 + 2).
  2. Evaluate 10/5(4x10)-10/5(4x - 10).
  3. Expand and simplify 2(5x3+6)-2(5x - 3 + 6).
  4. If x=2x = 2, what is the value of 8x+48-8x + 48?
  5. Factor the expression 8x+48-8x + 48.

Tip: Always simplify expressions within parentheses first before applying operations outside, especially when there's multiplication.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property

Formulas

Distributive Property: a(b + c) = ab + ac
Simplification of expressions

Theorems

Order of Operations (PEMDAS)

Suitable Grade Level

Grades 6-8