Question

How do you solve the equation `4-absx=2x+1`?

Answer 1

`x=1`

Explanation:

If `x>=0` then we have
`4-x=2x+1`
so we get
`x=1`
If `x<0` then we have
`4+x=2x+1`
so
`x=3`
This is impossible, since we have assumed that `x<0`