aliensoybean wrote:

|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