SOLUTION: If twice a number added to 3 is divided by the number plus 1, the result is three halves. Find the number.

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Question 217626: If twice a number added to 3 is divided by the number plus 1, the result is three halves. Find the number.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
If twice a number added to 3 is divided by the number plus 1, the result is three halves.
Find the number.
:
Let x = " a number"
:
%282x+%2B+3%29%2F%28x+%2B+1%29 = 3%2F2
Cross multiply
2(2x+3) = 3(x+1)
:
4x + 6 = 3x + 3
:
4x - 3x = 3 - 6
:
x = -3
;
;
Check in original equation
%282%28-3%29+%2B+3%29%2F%28-3+%2B+1%29 = 3%2F2
:
%28-6+%2B+3%29%2F%28-3+%2B+1%29 = 3%2F2
:
%28-3%29%2F%28-2%29 = 3%2F2