Respuesta :

Space

Answer:

x = 133

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
  • Subtract Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

6x + 4 = 5x + 17 + 120

Step 2: Solve for x

  1. Combine like terms:                    6x + 4 = 5x + 137
  2. Isolate x terms:                             x + 4 = 137
  3. Isolate x:                                       x = 133

Step 3: Check

Plug in x into the original equation to verify it's a solution.

  1. Substitute in x:                    6(133) + 4 = 5(133) + 17 + 120
  2. Multiply:                               798 + 4 = 665 + 17 + 120
  3. Add:                                     802 = 682 + 120
  4. Add:                                     802 = 802

Here we see that 802 does indeed equal 802.

∴ x = 133 is the solution to the equation.