(9x-6)/(9x+6)=4/5

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Solution for (9x-6)/(9x+6)=4/5 equation:



(9x-6)/(9x+6)=4/5
We move all terms to the left:
(9x-6)/(9x+6)-(4/5)=0
Domain of the equation: (9x+6)!=0
We move all terms containing x to the left, all other terms to the right
9x!=-6
x!=-6/9
x!=-2/3
x∈R
We add all the numbers together, and all the variables
(9x-6)/(9x+6)-(+4/5)=0
We get rid of parentheses
(9x-6)/(9x+6)-4/5=0
We calculate fractions
(45x-30)/(45x+30)+(-36x-24)/(45x+30)=0
We multiply all the terms by the denominator
(45x-30)+(-36x-24)=0
We get rid of parentheses
45x-36x-30-24=0
We add all the numbers together, and all the variables
9x-54=0
We move all terms containing x to the left, all other terms to the right
9x=54
x=54/9
x=6

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