Respuesta :

Space

Answer:

x = 14

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

Geometry

  • Supplementary Angles: Angles that add up to 180°

Step-by-step explanation:

Step 1: Define

We can see from the diagram that the 2 angles are supplementary

(6x - 10)° + (7x + 8)° = 180°

Step 2: Solve for x

  1. Combine like terms:                                                                                         13x - 2 = 180
  2. [Addition Property of Equality] Add 2 on both sides:                                    13x = 182
  3. [Division Property of Equality] Divide 13 on both sides:                                x = 14

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