Solve - 6|2x-9|+1=-17 and give the final answers that would make the equations true

Remember

if |x|=y

assume

x=y and - x=y or

x=y and x=-y

so

-6|2x-9|+1=-17

minus 1 from both sides

-6|2x-9|=-18

divide both sides by - 6

|2x-9|=3

assume

2x-9=3 and2x-9=-3

solve

2x-9=3

add 9

2x=12

divide 2

x=6

2x-9=-3

add 9

2x=6

divide 2

x=3

x=3 and/or 6