Respuesta :

Space

Answer:

[tex]\displaystyle 6x - 5[/tex]

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

Algebra I

  • Terms/Coefficients/Degrees

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)[/tex]

Step 2: Simplify

  1. Distribute:                           [tex]\displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)[/tex]
  2. Multiply:                              [tex]\displaystyle 5x + 4 - 9 + x[/tex]
  3. Rearrange:                          [tex]\displaystyle 5x + x + 4 - 9[/tex]
  4. Combine like terms:          [tex]\displaystyle 6x - 5[/tex]

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