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
6(x + 8) = 48
6 left parenthesis x plus 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
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
To determine which equation requires dividing both sides by 6 first and then adding 8 to both sides, let's break down the steps for each equation and see which one matches the given order.
Let's analyze each equation step by step:
1. 6(x - 8) = 48:
- To isolate the variable, we need to divide both sides by 6 first. This equation matches the first step.
- After dividing both sides by 6, we have: (x - 8) = 8
- The second step is to add 8 to both sides. This equation does not match the second step.
2. 6(x + 8) = 48:
- Again, to isolate the variable, we need to divide both sides by 6 first. This equation matches the first step.
- After dividing both sides by 6, we have: (x + 8) = 8
- The second step is to add 8 to both sides. This equation does not match the second step.
3. 6x - 8 = 48:
- To isolate the variable, we need to divide both sides by 6 first. This equation does not match the first step.
4. 8(x - 6) = 48:
- To isolate the variable, we need to divide both sides by 8 first. This equation does not match the first step.
From the analysis above, we can conclude that none of the provided equations match the order of steps given.