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6 (2x+7) = 5 x - 11 - x

Sagot :

Lucker

Answer:

x = -53/8

Step-by-step explanation:

6(2x + 7) = 5x - 11 - x

12x + 42 = 5x -11 - x (Distributive property)

12x + 42 = 4x - 11 (Subtraction property)

8x + 42 = -11 (Subtraction Property)

8x = -53 (Subtraction Property)

x = -53/8

Space

Answer:

x = -53/8

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  

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

6(2x + 7) = 5x - 11 - x

Step 2: Solve for x

  1. Combine like terms:                                                                                       6(2x + 7) = 4x - 11
  2. Distribute 6:                                                                                                    12x + 42 = 4x - 11
  3. [Subtraction Property of Equality] Subtract 4x on both sides:                    8x + 42 = -11
  4. [Subtraction Property of Equality] Subtract 42 on both sides:                    8x = -53
  5. [Division Property of Equality] Divide 8 on both sides:                                x = -53/8
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