Question

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

Answer 1

See explanation.

Explanation:

The absolute value of an expression is `5` if the expression's value is either `5` or `-5`, so this absolute value equation can be changed to 2 equations without absolute value.

`|x-3|=5 iff x-3=5 vv x-3=-5`

If you solve the 2 equations you get:

`x-3=5 => x=8`

and

`x-3=-5 =>x=-2`

Answer:

The equation has 2 solutions: `x=-2` and `x=8`