SOLUTION: just learning algebra at the age of 60 stuck on the following 2+X OVER 2 = 1- X OVER 3 WHAT IS THE VALUE OF X

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Question 28010: just learning algebra at the age of 60 stuck on the following
2+X OVER 2 = 1- X OVER 3 WHAT IS THE VALUE OF X

Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2Bx%29%2F2=%281-x%29%2F3
This can be solved by cross multiplying based on the fact that:
a%2Fb=c%2Fd can be rewritten by multiplying together the diagonals and setting them equal like:
ad=bc For your problem write:
3%2A%282%2Bx%29=2%2A%281-x%29Distribute on both sides:
6%2B3x=2-2xAdd 2x to both sides:
6%2B5x=2Subtract 6 from both sides:
5x=-4Divide both sides by 5:
x=-4%2F5
Double check:
2%2Bhighlight%28-4%2F5%29%2F2=%281-highlight%28-4%2F5%29%29%2F3
%286%2F5%29%2F2=%289%2F5%29%2F3
6%2F10=9%2F15
3%2F5=3%2F5Check