the brackets are supposed to be absolute value bars

Hi

Solve this using normal algebra rules.

4+ | x-1 | = 11

| x-1 | = 11-4 subtract 4 from both sides

| x-1 | = 7

(x-1) = + 7 remove the absolute value signs by taking + and - of the right hand side

x-1=7 and x-1=-7

x=8 and x=-6

2 values that solve this problem x = 8 , -6