Question

How do you solve `abs(x+17)+10=70`?

Answer 1

`x=43` or `-77`

Explanation:

`|x+17| + 10 = 70`
`|x+17| = 70 - 10`
`|x+17| = 60`

`x` can have two answers, where `x` positive
or `x` is negative

First, when `x` is positive:

`|x+17| = 60`
`|x| = 60 - 17`
`x = 43`

Next, when `x` is negative:

`|x +17| = -60`
`x +17 = -60`
`x = -60-17`
`x = - 77`