You can put this solution on YOUR website! the first thing you should do is get rid of the fraction, if you can. In this case you can without breaking any rules.
2/5(x-2)=x+4
2(x-2)=5(x+4) multiply 5 times each side.
2x-4=5x+20
-24=3x subtract 2x+20 from each side.
x= -8 divide each side by 3
Check:
2/5(-8-2)=-8+4
2/5(-10)=-4
-4=-4
Ed