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-7 – 3x = 1x + 4(2 + x)

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Answer:

x = -15/8

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

Explanation:

Step 1: Define

-7 - 3x = 1x + 4(2 + x)

Step 2: Solve for x

  1. Distribute 4: -7 - 3x = x + 8 + 4x
  2. Combine like terms: -7 - 3x = 5x + 8
  3. [Addition Property of Equality] Add 3x on both sides: -7 = 8x + 8
  4. [Subtraction Property of Equality] Subtract 8 on both sides: -15 = 8x
  5. [Division Property of Equality] Divide 8 on both sides: -15/8 = x
  6. Rewrite/Rearrange: x = -15/8
User Christian Hudon
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