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Solve 2(x+4)=6x+6-4x+2 . Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. x=(fill in the blank) B. The equation has infinitely many solutions. C. The equation has no solution.

Respuesta :

Space

Answer:

B. The equation has infinitely many solutions.

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define equation

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

Step 2: Solve for x

  1. Combine like terms:                    2(x + 4) = 2x + 8
  2. Distribute 2:                                  2x + 8 = 2x + 8
  3. Subtract 8 on both sides:            2x = 2x
  4. Divide 2 on both sides:                x = x

Here we see that any number x can be used and will render the equation true. Therefore, x = infinite amount of solutions.

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