<PRE><B>Question 24045</B>
Your mistake is that in both of your solutions, you forgot to multiply the 1 on the right side of the equation by the common denominator.  This is what it should have been:


2/3(x+6)=1+ (4x-7)/3
I have tried common denominator of 6
4(x+6)= 6+2(4x-7)
4x+24=6+8x-14
4x+24=8x-8
32 = 4x 
x=8


In your second solution, there were a couple of other errors to clean up.  See if this looks better?


I tried 3 as common denominator also
2(x+6)= 3+(4x-7)
2x+12 = 4x -4
16 = 2x 
x=8


R^2 at SCC</PRE>