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!~