Question

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.

Answer 1

B. The equation has infinitely many solutions.

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

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.