Question

What is the solution of `|2x+4|=8`?

Answer 1

`x=2" and " x=-6`

Explanation:

The `color(blue)"absolute value"` can be a negative or positive value.

That is `|-4|=4" and " |4|=4`

The absolute value is a measure of how far a number is from the origin with no consideration of it's direction.

If absolute value is positive.

`2x+4=8to2x=8-4=4tox=2`

If absolute value is negative.

`2x+4=-8to2x=-8-4=-12tox=-6`