(41x+7)/(5x+27)=4

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Solution for (41x+7)/(5x+27)=4 equation:



(41x+7)/(5x+27)=4
We move all terms to the left:
(41x+7)/(5x+27)-(4)=0
Domain of the equation: (5x+27)!=0
We move all terms containing x to the left, all other terms to the right
5x!=-27
x!=-27/5
x!=-5+2/5
x∈R
We multiply all the terms by the denominator
(41x+7)-4*(5x+27)=0
We multiply parentheses
(41x+7)-20x-108=0
We get rid of parentheses
41x-20x+7-108=0
We add all the numbers together, and all the variables
21x-101=0
We move all terms containing x to the left, all other terms to the right
21x=101
x=101/21
x=4+17/21

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