(4x+7)/(6x+2)=15/10

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Solution for (4x+7)/(6x+2)=15/10 equation:



(4x+7)/(6x+2)=15/10
We move all terms to the left:
(4x+7)/(6x+2)-(15/10)=0
Domain of the equation: (6x+2)!=0
We move all terms containing x to the left, all other terms to the right
6x!=-2
x!=-2/6
x!=-1/3
x∈R
We add all the numbers together, and all the variables
(4x+7)/(6x+2)-(+15/10)=0
We get rid of parentheses
(4x+7)/(6x+2)-15/10=0
We calculate fractions
(40x+70)/(60x+20)+(-90x-30)/(60x+20)=0
We multiply all the terms by the denominator
(40x+70)+(-90x-30)=0
We get rid of parentheses
40x-90x+70-30=0
We add all the numbers together, and all the variables
-50x+40=0
We move all terms containing x to the left, all other terms to the right
-50x=-40
x=-40/-50
x=4/5

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