(x)/(x+7)=4/3

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Solution for (x)/(x+7)=4/3 equation:



(x)/(x+7)=4/3
We move all terms to the left:
(x)/(x+7)-(4/3)=0
Domain of the equation: (x+7)!=0
We move all terms containing x to the left, all other terms to the right
x!=-7
x∈R
We add all the numbers together, and all the variables
x/(x+7)-(+4/3)=0
We get rid of parentheses
x/(x+7)-4/3=0
We calculate fractions
3x/(3x+21)+(-4x-28)/(3x+21)=0
We multiply all the terms by the denominator
3x+(-4x-28)=0
We get rid of parentheses
3x-4x-28=0
We add all the numbers together, and all the variables
-1x-28=0
We move all terms containing x to the left, all other terms to the right
-x=28
x=28/-1
x=-28

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