(45x+6)/(5x+22)=3

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Solution for (45x+6)/(5x+22)=3 equation:



(45x+6)/(5x+22)=3
We move all terms to the left:
(45x+6)/(5x+22)-(3)=0
Domain of the equation: (5x+22)!=0
We move all terms containing x to the left, all other terms to the right
5x!=-22
x!=-22/5
x!=-4+2/5
x∈R
We multiply all the terms by the denominator
(45x+6)-3*(5x+22)=0
We multiply parentheses
(45x+6)-15x-66=0
We get rid of parentheses
45x-15x+6-66=0
We add all the numbers together, and all the variables
30x-60=0
We move all terms containing x to the left, all other terms to the right
30x=60
x=60/30
x=2

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