Respuesta :

bella62011

Answer:

3(x+2)-(2x-7)<(5x-1)-2(x+6)

3x+6-2x+7<5x-1-2x-12

x+13<3x-13

Or, 3x-13 > x+13

2x >26

x>13

x>13 will be ur ans ______

Space

Answer:

x > 13

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

Step-by-step explanation:

Step 1: Define

3(x + 2) - (2x - 7) < (5x - 1) - 2(x + 6)

Step 2: Solve for x

  1. [Distributive Property] Distribute:                                                                    3x + 6 - 2x + 7 < 5x - 1 - 2x - 12
  2. Combine like terms:                                                                                         x + 13 < 3x - 13
  3. [Subtraction Property of Equality] Subtract x on both sides:                         13 < 2x - 13
  4. [Addition Property of Equality] Add 13 on both sides:                                   26 < 2x
  5. [Division Property of Equality] Divide 2 on both sides:                                  13 < x
  6. Rewrite:                                                                                                             x > 13

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