Question

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)

Responses

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

6x − 8 = 48
6 x minus 8 equals 48

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

6(x + 8) = 48

Answer 1

[AI-generated answer — Bot GPT 3.5]

None of the equations listed require dividing both sides by 6 and then adding 8 to both sides.

Answer 2

which one is it?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides is:

6x − 8 = 48

Answer 4

[AI-generated answer — Explain Bot]

To determine the equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides, we need to understand the rules for solving equations.

The general order of solving equations is as follows:
1. Simplify both sides of the equation (if necessary).
2. Perform inverse operations to isolate the variable.
3. Solve for the variable by performing the same operation to both sides of the equation until the variable is isolated on one side.

In this case, we first divide both sides by 6 and then add 8 to both sides of the equation.

Let's go through the given options and apply these steps to each equation:

1. 6(x - 8) = 48
To divide both sides by 6, we get:
(x - 8) = 48/6
Simplifying further, we have:
(x - 8) = 8

This equation does not align with the order of steps we are looking for, as we would first divide by 6, not by 8. This option is incorrect.

2. 6x - 8 = 48
To divide both sides by 6, we get:
(6x - 8)/6 = 48/6
Simplifying further, we have:
x - 8/6 = 8

Adding 8 to both sides of the equation, we get:
x - 8/6 + 8 = 8 + 8
Simplifying further, we have:
x - 8/6 + 48/6 = 16

This equation aligns with the order of steps we are looking for, as we first divide by 6 and then add 8 to both sides. This option is the correct answer.

3. 8(x - 6) = 48
Following the order of steps we are looking for, we would divide by 8, not by 6. This option is incorrect.

4. 6(x + 8) = 48
Following the order of steps we are looking for, we would divide by 6, not by 8. This option is incorrect.

Therefore, the equation that matches the order of steps required is 6x - 8 = 48.