Respuesta :

Space

Answer:

x = -16

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

-1/8(x - 24) + 1/2(x + 4) = x + 15

Step 2: Solve for x

  1. [Distributive Property] Distribute:                                                                    -1/8x + 3 + 1/2x + 2 = x + 15
  2. Combine like terms [Add]:                                                                               3/8x + 5 = x + 15
  3. [Subtraction Property of Equality] Subtract x on both sides:                         -5/8x + 5 = 15
  4. [Subtraction Property of Equality] Subtract 5 on both sides:                        -5/8x = 10
  5. [Division Property of Equality] Divide -5/8 on both sides:                             x = -16

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