(2+7x)/(11x-17)=14

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Solution for (2+7x)/(11x-17)=14 equation:



(2+7x)/(11x-17)=14
We move all terms to the left:
(2+7x)/(11x-17)-(14)=0
Domain of the equation: (11x-17)!=0
We move all terms containing x to the left, all other terms to the right
11x!=17
x!=17/11
x!=1+6/11
x∈R
We add all the numbers together, and all the variables
(7x+2)/(11x-17)-14=0
We multiply all the terms by the denominator
(7x+2)-14*(11x-17)=0
We multiply parentheses
(7x+2)-154x+238=0
We get rid of parentheses
7x-154x+2+238=0
We add all the numbers together, and all the variables
-147x+240=0
We move all terms containing x to the left, all other terms to the right
-147x=-240
x=-240/-147
x=1+31/49

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