<PRE><B>Question 9722</B>
After 5 different combinations I finally realized the problem is to be read as 

(x+1)/3 = 5 - (x+2)/7

Adding (x+2)/7 on both sides 

(x+1)/3 + (x+2)/7= 5

Taking LCM and cross multiplying

7x+7 + 3x+6 = 5x21

10x+13 = 105

10x = 92

x = 45/6    (Dividing throughout by 10 and simplifying)</PRE>