(3x+7)/(2x+3)=2

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Solution for (3x+7)/(2x+3)=2 equation:



(3x+7)/(2x+3)=2
We move all terms to the left:
(3x+7)/(2x+3)-(2)=0
Domain of the equation: (2x+3)!=0
We move all terms containing x to the left, all other terms to the right
2x!=-3
x!=-3/2
x!=-1+1/2
x∈R
We multiply all the terms by the denominator
(3x+7)-2*(2x+3)=0
We multiply parentheses
(3x+7)-4x-6=0
We get rid of parentheses
3x-4x+7-6=0
We add all the numbers together, and all the variables
-1x+1=0
We move all terms containing x to the left, all other terms to the right
-x=-1
x=-1/-1
x=1

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