(x+5)/(7x-1)=4

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Solution for (x+5)/(7x-1)=4 equation:



(x+5)/(7x-1)=4
We move all terms to the left:
(x+5)/(7x-1)-(4)=0
Domain of the equation: (7x-1)!=0
We move all terms containing x to the left, all other terms to the right
7x!=1
x!=1/7
x!=1/7
x∈R
We multiply all the terms by the denominator
(x+5)-4*(7x-1)=0
We multiply parentheses
(x+5)-28x+4=0
We get rid of parentheses
x-28x+5+4=0
We add all the numbers together, and all the variables
-27x+9=0
We move all terms containing x to the left, all other terms to the right
-27x=-9
x=-9/-27
x=1/3

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