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allochka39001 [22]
3 years ago
6

Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Mathematics
1 answer:
grandymaker [24]3 years ago
3 0

Answer:

x = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

5(x + 2) = 6x + 3x - 14

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition] Combine like terms:                                                                        5(x + 2) = 9x - 14
  2. [Distributive Property] Distribute 5:                                                                 5x + 10 = 9x - 14
  3. [Subtraction Property of Equality] Subtract 9x on both sides:                      -4x + 10 = -14
  4. [Subtraction Property of Equality] Subtract 10 on both sides:                       -4x = -24
  5. [Division Property of Equality] Divide -4 on both sides:                                x = 6
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