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)%0D%0AResponses%0D%0A%0D%0A8(x − 6) = 48%0D%0A8 left parenthesis x minus 6 right parenthesis equals 48%0D%0A%0D%0A6x − 8 = 48%0D%0A6 x minus 8 equals 48%0D%0A%0D%0A6(x − 8) = 48%0D%0A6 left parenthesis x minus 8 right parenthesis equals 48%0D%0A%0D%0A6(x + 8) = 48
The equation for which the order of steps to first divide both sides by 6 and then to add 8 to both sides is "6x − 8 = 48".
The equation for which the order of steps is first dividing both sides by 6 and then adding 8 to both sides is:
6(x - 8) = 48
To identify the equation in which the order of steps is to first divide both sides by 6 and then add 8 to both sides, we need to analyze each equation option.
1. 8(x − 6) = 48
To solve this equation, we would first simplify by distributing 8 to the terms inside the parentheses, resulting in 8x - 48 = 48. This equation does not involve dividing both sides by 6, so it does not match the given order of steps.
2. 6x − 8 = 48
This equation matches the desired order of steps. To solve it, we would first add 8 to both sides, resulting in 6x = 56. Then, we would divide both sides by 6 to isolate the variable x, giving the solution x = 9⅓.
3. 6(x − 8) = 48
Similar to the first equation, we would distribute 6 to the terms inside the parentheses, resulting in 6x - 48 = 48. This equation does not match the given order of steps.
4. 6(x + 8) = 48
Once again, distributing 6 to the terms inside the parentheses yields 6x + 48 = 48. This equation does not match the desired order of steps either.
Therefore, the equation in which the order of steps is to first divide both sides by 6 and then add 8 to both sides is the second equation: 6x − 8 = 48.