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

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



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

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