(46x+9)/(6x+22)=4

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Solution for (46x+9)/(6x+22)=4 equation:



(46x+9)/(6x+22)=4
We move all terms to the left:
(46x+9)/(6x+22)-(4)=0
Domain of the equation: (6x+22)!=0
We move all terms containing x to the left, all other terms to the right
6x!=-22
x!=-22/6
x!=-3+2/3
x∈R
We multiply all the terms by the denominator
(46x+9)-4*(6x+22)=0
We multiply parentheses
(46x+9)-24x-88=0
We get rid of parentheses
46x-24x+9-88=0
We add all the numbers together, and all the variables
22x-79=0
We move all terms containing x to the left, all other terms to the right
22x=79
x=79/22
x=3+13/22

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