Respuesta :

Space

Answer:

x = 17

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

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

x + 8 = 3(x - 7) - 5

Step 2: Solve for x

  1. Distribute 3:                                                                                                      x + 8 = 3x - 21 - 5
  2. Combine like terms:                                                                                       x + 8 = 3x - 26
  3. [Subtraction Property of Equality] Subtract x on both sides:                      8 = 2x - 26
  4. [Addition Property of Equality] Add 26 on both sides:                                34 = 2x
  5. [Division Property of Equality] Divide 2 on both sides:                                17 = x
  6. Rewrite/Rearrange:                                                                                        x = 17

Answer:

17

Step-by-step explanation:

X+8=3(x-7)-5

x+8=3x-21-5

x+8=3x-26

8=2x-26

34=2x