(X+2)/(3x-5)=4/5

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Solution for (X+2)/(3x-5)=4/5 equation:



(X+2)/(3X-5)=4/5
We move all terms to the left:
(X+2)/(3X-5)-(4/5)=0
Domain of the equation: (3X-5)!=0
We move all terms containing X to the left, all other terms to the right
3X!=5
X!=5/3
X!=1+2/3
X∈R
We add all the numbers together, and all the variables
(X+2)/(3X-5)-(+4/5)=0
We get rid of parentheses
(X+2)/(3X-5)-4/5=0
We calculate fractions
(5X+10)/(15X-25)+(-12X+20)/(15X-25)=0
We multiply all the terms by the denominator
(5X+10)+(-12X+20)=0
We get rid of parentheses
5X-12X+10+20=0
We add all the numbers together, and all the variables
-7X+30=0
We move all terms containing X to the left, all other terms to the right
-7X=-30
X=-30/-7
X=4+2/7

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