For which equation is the order of steps to first divide both sides by 6 and then to add 8 to both sides?(1 point)

Question

Responses

8(x − 6) = 48
8 left parenthesis x minus 6 right parenthesis equals 48

6(x + 8) = 48
6 left parenthesis x plus 8 right parenthesis equals 48

6x − 8 = 48
6 x minus 8 equals 48

6(x − 8) = 48

Answer 1

To determine which equation you would first divide both sides by 6 and then add 8 to both sides, let's analyze each option step by step.

1. 8(x − 6) = 48

   • Dividing both sides by 6 won't help simplify this equation in the context of your steps.

2. 6(x + 8) = 48

   • Dividing both sides by 6 gives: x + 8 = 8. After that, you would subtract 8 (not add it), so this does not fit your order of steps.

3. 6x − 8 = 48

   • Dividing both sides by 6 gives: x - (4/3) = 8. Then you would need to add 8 after that.

4. 6(x − 8) = 48

   • Dividing both sides by 6 gives: x - 8 = 8. Then you would add 8: x = 16.

The correct option based on the requirement of dividing first by 6 and then adding 8 to both sides would be 6(x − 8) = 48.