x/(x-8)=7/3

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Solution for x/(x-8)=7/3 equation:



x/(x-8)=7/3
We move all terms to the left:
x/(x-8)-(7/3)=0
Domain of the equation: (x-8)!=0
We move all terms containing x to the left, all other terms to the right
x!=8
x∈R
We add all the numbers together, and all the variables
x/(x-8)-(+7/3)=0
We get rid of parentheses
x/(x-8)-7/3=0
We calculate fractions
3x/(3x-24)+(-7x+56)/(3x-24)=0
We multiply all the terms by the denominator
3x+(-7x+56)=0
We get rid of parentheses
3x-7x+56=0
We add all the numbers together, and all the variables
-4x+56=0
We move all terms containing x to the left, all other terms to the right
-4x=-56
x=-56/-4
x=+14

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