Answer:
x = c + 7 and x = c - 7
Step-by-step explanation:
|x-7|=c can be broken into two separate parts, as follows:
Part 1: x - 7 = c, or x = c + 7
Part 2: -(x - 7) = c is equivalent to -x + 7 = c, or x = c - 7
Note that in Part 1 we simply drop the absolute value symbol | |.
On the other hand, in Part 2 we enclose x - 7 inside parentheses and then write a - sign in front of this result.