SOLUTION: If twice a number, added to 3 is divided by the number plus 2, the results is seven fourths. Find the number

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Question 933373: If twice a number, added to 3 is divided by the number plus 2, the results is seven fourths. Find the number
Answer by LisaDrapeau(7) About Me  (Show Source):
You can put this solution on YOUR website!
Let "x" be the number.

From that you can change the wording to the equation:

(2x+3)/(x+2)=7/4

From here you can cross multiply to simplify the equation a bit:

4(2x+3)=7(x+2)
8x+12=7x+14
8x-7x=14-12
x=2

To check:

(2*2 + 3)/(2+2)=7/4 ???
(4+3)/(4)=7/4 ???
7/4=7/4 YES :)

I hope that helps :)