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(x+14)/(2x+35)=8
We move all terms to the left:
(x+14)/(2x+35)-(8)=0
Domain of the equation: (2x+35)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
2x!=-35
x!=-35/2
x!=-17+1/2
x∈R
(x+14)-8*(2x+35)=0
We multiply parentheses
(x+14)-16x-280=0
We get rid of parentheses
x-16x+14-280=0
We add all the numbers together, and all the variables
-15x-266=0
We move all terms containing x to the left, all other terms to the right
-15x=266
x=266/-15
x=-17+11/15
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