(3k)/(2k-5)=7/3

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Solution for (3k)/(2k-5)=7/3 equation:



(3k)/(2k-5)=7/3
We move all terms to the left:
(3k)/(2k-5)-(7/3)=0
Domain of the equation: (2k-5)!=0
We move all terms containing k to the left, all other terms to the right
2k!=5
k!=5/2
k!=2+1/2
k∈R
We add all the numbers together, and all the variables
3k/(2k-5)-(+7/3)=0
We get rid of parentheses
3k/(2k-5)-7/3=0
We calculate fractions
9k/(6k-15)+(-14k+35)/(6k-15)=0
We multiply all the terms by the denominator
9k+(-14k+35)=0
We get rid of parentheses
9k-14k+35=0
We add all the numbers together, and all the variables
-5k+35=0
We move all terms containing k to the left, all other terms to the right
-5k=-35
k=-35/-5
k=+7

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