x/(x+2)=6/5

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Solution for x/(x+2)=6/5 equation:



x/(x+2)=6/5
We move all terms to the left:
x/(x+2)-(6/5)=0
Domain of the equation: (x+2)!=0
We move all terms containing x to the left, all other terms to the right
x!=-2
x∈R
We add all the numbers together, and all the variables
x/(x+2)-(+6/5)=0
We get rid of parentheses
x/(x+2)-6/5=0
We calculate fractions
5x/(5x+10)+(-6x-12)/(5x+10)=0
We multiply all the terms by the denominator
5x+(-6x-12)=0
We get rid of parentheses
5x-6x-12=0
We add all the numbers together, and all the variables
-1x-12=0
We move all terms containing x to the left, all other terms to the right
-x=12
x=12/-1
x=-12

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