|x – 3| = |2x – 3|
When you have an equation like this and you are considering two scenarios +/-. How do you do the negative?
Do you make both sides negative....
-x+3 = -2X+3 ?
Or just one side?
-x+3 = 2x-3?
this is what you do
|x - 3| = |2x - 3|
remove the absolute sign and solve
x-3 = 2x-3 --> x = 0
now minus just one side (as minusing both doesn't make sense since you are doing the same thing to each side. Also which side you minus doesn't matter either)
3 - x = 2x - 3 --> x=2
just to prove the above, minus the other side
x - 3 = 3 - 2x --> x=2