Question 119303
You need to get all x terms on one side, everything else on the other side.
Do this using the additive inverse. 
{{{a+(-a)=0}}}
Here's your equation. 
{{{2x-4=x+2}}}
Let's bring all of the x terms to the left side. 
Everything else on the right hand side. 
To get rid of x on the right side, add the additive inverse of x or (-x).
Remember whatever you do to one side of the equation, you must do to the other. 
{{{2x+highlight(-x)-4=x+highlight(-x)+2}}}
{{{(2x-x)-4=(x-x)+2}}}
{{{x-4=2}}}
To get rid of the (-4) on the left side, use the additive inverse of (-4). 
-(-4) is the same as 4.
Add 4 to both sides of the equation.
{{{x-4+4=2+4}}}
{{{highlight(x=6)}}}
Always check your answer.
{{{2x-4=x+2}}}
{{{2(6)-4=(6)+2}}}
{{{12-4=8}}}
{{{8=8}}}
Your answer led to a true statement. 
It's a good answer.