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-3 - 4x - 2(1 + 3x) = 1 - 2x + 2

Sagot :

Space

Answer:

x = -1

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

Distributive Property

Algebra I

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

Step 1: Define

-3 - 4x - 2(1 + 3x) = 1 - 2x + 2

Step 2: Solve for x

  1. [Addition] Combine like terms:                                                                      -3 - 4x - 2(1 + 3x) = -2x + 3
  2. [Addition Property of Equality] Add 3 on both sides:                                  -4x - 2(1 + 3x) = -2x + 6
  3. [Addition Property of Equality] Add 4x on both sides:                                -2(1 + 3x) = 2x + 6
  4. Factor GCF:                                                                                                     -2(1 + 3x) = 2(x + 3)
  5. [Division Property of Equality] Divide -2 on both sides:                                1 + 3x = -(x + 3)
  6. [Distributive Property] Distribute negative:                                                    1 + 3x = -x - 3
  7. [Addition Property of Equality] Add x on both sides:                                    1 + 4x = -3
  8. [Subtraction Property of Equality] Subtract 1 on both sides:                       4x = -4
  9. [Division Property of Equality] Divide 4 on both sides:                                x = -1
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