Question

|=absolute value sign

|x-7|=5
find x

Answer 1

|x-7|=5
hence
x-7 =5 or x-7=-5
consider
$x - 7 = 5 \\ x = 7 + 5 \\ x = 12$
Now consider
x-7=-5
$x = 7 - 5 \\ x = 2$
Hence x is 2 or x is 12