Respuesta :

Space

Answer:

x = -10

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

1/2(x - 106) = 12 + 7x

Step 2: Solve for x

  1. [Multiplication Property of Equality] Multiply 2 on both sides:                      x - 106 = 2(12 + 7x)
  2. [Distributive Property] Distribute 2:                                                                 x - 106 = 24 + 14x
  3. [Subtraction Property of Equality] Subtract x on both sides:                         -106 = 24 + 13x
  4. [Subtraction Property of Equality] Subtract 24 on both sides:                      -130 = 13x
  5. [Division Property of Equality] Divide 13 on both sides:                                -10 = x
  6. Rewrite:                                                                                                             x = -10

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