x/(17-x)=5/12

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Solution for x/(17-x)=5/12 equation:



x/(17-x)=5/12
We move all terms to the left:
x/(17-x)-(5/12)=0
Domain of the equation: (17-x)!=0
We move all terms containing x to the left, all other terms to the right
-x!=-17
x!=-17/-1
x!=+17
x∈R
We add all the numbers together, and all the variables
x/(-1x+17)-(+5/12)=0
We get rid of parentheses
x/(-1x+17)-5/12=0
We calculate fractions
12x/(-12x+204)+(5x-85)/(-12x+204)=0
We multiply all the terms by the denominator
12x+(5x-85)=0
We get rid of parentheses
12x+5x-85=0
We add all the numbers together, and all the variables
17x-85=0
We move all terms containing x to the left, all other terms to the right
17x=85
x=85/17
x=5

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