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What is -3 (x+2) = 16 -x

1 Answer

6 votes

Answer:

x = -11

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

Equality Properties

  1. Multiplication Property of Equality
  2. Division Property of Equality
  3. Addition Property of Equality
  4. Subtraction Property of Equality

Terms/Coefficients

Explanation:

Step 1: Define

Identify.

-3(x + 2) = 16 - x

Step 2: Solve for x

  1. [Distributive Property] Distribute -3: -3x - 6 = 16 - x
  2. [Addition Property of Equality] Add x on both sides: -2x - 6 = 16
  3. [Addition Property of Equality] Add 6 on both sides: -2x = 22
  4. [Division Property of Equality] Divide -2 on both sides: x = -11
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