Question

How do you solve `abs(2x - 3) = 6`?

Answer 1

`x=4.5` and `x=-1.5`

Explanation:

By definition of absolute value, whatever is inside can be `6` or `-6`.

This gives us two equations:
`2x-3=6`
`2x-3=-6`

Solving the first equation,
`2x-3=6`
`2x=9`
`x=4.5`

Solving the second equation,
`2x-3=-6`
`2x=-3`
`x=-1.5`

So the two values of x are 4.5 and -1.5