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 minus 8 right parenthesis equals 48

6x − 8 = 48
6 x minus 8 equals 48

6(x + 8) = 48

Answer 1

To determine which equation can be solved by first dividing both sides by 6 and then adding 8 to both sides, let's analyze each option step by step.

1. 8(x − 6) = 48

   • Dividing both sides by 6 doesn't maintain clarity for x, and adding 8 afterward doesn't simplify the equation.

2. 6(x − 8) = 48

   • Dividing both sides by 6 gives x - 8 = 8. Adding 8 to both sides gives x = 16. This works.

3. 6x − 8 = 48

   • First, we could add 8 to both sides, and then divide by 6, which does not fit the specified steps.

4. 6(x + 8) = 48

   • Dividing both sides by 6 gives x + 8 = 8. Adding 8 to both sides doesn't fit the required steps correctly.

Therefore, the equation that fits the order of steps to first divide both sides by 6 and then to add 8 to both sides is:

6(x − 8) = 48