Question

How do you solve `3abs(x - 5)= 12`?

Answer 1

If `3abs(x-5) = 12`
then
`abs(x-5) = 4`

If `(x-5)<0`
this equivalent to
`5-x = 4`
`x=1`

If `(x-5)>=4`
then `abs(x-5)=4` is equivalent to
`x-5 = 4`
`x=9`

The given equation has tow solutions
`x=1` and `x=9`