The equation for which the order of steps is first dividing both sides by 6 and then adding 8 to both sides is:
6x + 10 = 44
6x + 10 = 44
6x - 4 = 14
Let's say we have an equation in the form of Ax + B = C, where A, B, and C are constants, and x is the variable we are solving for.
If we divide both sides of the equation by 6, we get (Ax + B) / 6 = C / 6.
Now, to isolate x, we need to get rid of the constant term B. One way to do this is by subtracting B from both sides of the equation:
(Ax + B) / 6 - B = C / 6 - B.
Simplifying this further, we have (Ax + B - 6B) / 6 = (C - 6B) / 6.
Our goal is to add 8 to both sides of the equation. So, adding 8 to the left side, we have:
(Ax + B - 6B) / 6 + 8 = (C - 6B) / 6 + 8.
Further simplifying, we obtain (Ax + B + 6B + 48) / 6 = (C + 6B + 48) / 6.
Now, comparing this with the equation we were initially given, we can conclude that the equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides is:
(Ax + B + 6B + 48) / 6 = (C + 6B + 48) / 6.
It is important to note that this process of manipulating equations follows the basic principles of algebra and can be applied to any equation. The specific equation being solved will determine the coefficients and constants involved.
The correct equation, where the order of steps is to first divide both sides by 6 and then add 8 to both sides, can be determined as follows:
1. Start with an equation in the form of Ax + B = C.
2. Divide both sides by 6: (Ax + B)/6 = C/6.
3. Add 8 to both sides: (Ax + B)/6 + 8 = C/6 + 8.
Therefore, the equation for which the order of steps is to first divide both sides by 6 and then add 8 to both sides is:
(Ax + B)/6 + 8 = C/6 + 8.