SOLUTION: Please help me solve this rational equation, this is a sample problem and I have the answer we are suppose to study this but I'm not sure how they got certain numbers. 5/2x = 17/1

Question 217259: Please help me solve this rational equation, this is a sample problem and I have the answer we are suppose to study this but I'm not sure how they got certain numbers.
5/2x = 17/18 - 1/3x I know that x cancels out o
this is as far as I got then started getting confused.
18x x 5/2x = 18x (17/18 - 1/3x
18x x 5/2x = 18x x 17/18 - 18x x 1/3x
45 = 17x - 6
45+ 6 = 17x - 6 + 6
51=17x
51/17=17x/17 3=x I got lost starting at 45= 17x - 6 I don't know how they got the 45 and 17 so therefore I got confused through out the rest. Thank you for any help you can give me.
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
5/2x=17/18-1/3x
5x/2+x/3=17/18
(5x*3+x*2)/2*3=17/18
(15x+2x)/6=17/18
17x/6=17/18
17x*18=6*17
18x=6
x=6/18=1/3 ans.
Proof:
(5*1/3)/2=17/18-(1/3)/3
5/3*1/2=17/18-1/3*1/3
5/6=17/18-1/9
15/18=17/18-2/18
15/18=15/18
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