explain how the process of solving x/4-2=8 is different from the process of sovlivng x/4=8

Is your equation

x/4 - 2 = 8 or

x/(4-2) = 8?

It would make a difference.

x/4-2=8

The process of solving "x/4-2=8" is different from the process of solving "x/4=8" because the first equation involves subtracting a number (2) from the expression involving x, whereas the second equation does not involve any additional operations.

To solve "x/4-2=8", we want to isolate the variable x by performing inverse operations step by step:

1. Step 1: Add 2 to both sides of the equation to isolate the x-term:
x/4 - 2 + 2 = 8 + 2
x/4 = 10

2. Step 2: Multiply both sides of the equation by 4 to eliminate the fraction:
4 * (x/4) = 4 * 10
x = 40

Hence, the solution to the equation "x/4-2=8" is x = 40.

On the other hand, to solve "x/4=8", the goal is to isolate the variable x by performing the following steps:

1. Step 1: Multiply both sides of the equation by 4 to eliminate the fraction:
4 * (x/4) = 4 * 8
x = 32

Therefore, the solution to the equation "x/4=8" is x = 32.

In summary, the difference in the process lies in the additional step of subtracting 2 in the first equation, while the second equation can be solved by multiplying both sides directly.