Respuesta :

Answer:

Step-by-step explanation:

x=3x+1+2(x+5)

x=3x+1+2x+10

x=5x+11

-11=5x-x

-11=4x

-11/4=x

Space

Answer:

x = -11/4

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

Identify

x = 3x + 1 + 2(x + 5)

Step 2: Solve for x

  1. [Distributive Property] Distribute 2:                                                                 x = 3x + 1 + 2x + 10
  2. [Addition] Combine like terms:                                                                        x = 5x + 11
  3. [Subtraction Property of Equality] Subtract 5x on both sides:                      -4x = 11
  4. [Division Property of Equality] Divide -4 on both sides:                                x = -11/4