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I need help 2(4+2x)≥5x+5

User Vilius
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1 Answer

2 votes

Answer:

x ≤ 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

  • Terms/Coefficients

Explanation:

Step 1: Define

Identify

2(4 + 2x) ≥ 5x + 5

Step 2: Solve for x

  1. [Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5
  2. [Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5
  3. [Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3
  4. [Division Property of Equality] Divide -1 on both sides: x ≤ 3
User Qbik
by
8.3k points

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