Respuesta :

Space

Answer:

x = 1

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

Step-by-step explanation:

Step 1: Define Equation

6x + 2 = 2(x + 4) - 2

Step 2: Solve for x

  1. Distribute 2:                              6x + 2 = 2x + 8 - 2
  2. Combine like terms:                 6x + 2 = 2x + 6
  3. Subtract 2x on both sides:       4x + 2 = 6
  4. Subtract 2 on both sides;        4x = 4
  5. Divide 4 on both sides:            x = 1

Step 3: Check

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

  1. Substitute in x:                    6(1) + 2 = 2(1 + 4) - 2
  2. Multiply:                               6 + 2 = 2(1 + 4) - 2
  3. Add:                                     8 = 2(5) - 2
  4. Multiply:                               8 = 10 - 2
  5. Subtract:                              8 = 8

Here we see that 8 does indeed equal 8.

∴ x = 1 is the solution to the equation.

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