Question

How do you solve this absolute value equation? ∣x−2∣=∣4+x∣

Answer 1

L x - 2 l = l 4 + x l

Remember : Absolute is just the distance from zero.

Ex : l -4 l turns into 4, as it is 4 spaces away from zero on a number line :)

l x - 2 l turns into x + 2

l 4 + x l stays the same.

So, our equation now looks like this :

x + 2 = 4 + x

So, we're basically just trying to get x by itself.

So, subtract 2 from both sides.

x = 4 + x - 2

Then, subtract x from both sides.

x - x = 4 -2 

0 = 2

Therefore, there are no solutions to this equation :)

~Hope I helped!~