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(8x+2)/(5x-1)=13/7
We move all terms to the left:
(8x+2)/(5x-1)-(13/7)=0
Domain of the equation: (5x-1)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
5x!=1
x!=1/5
x!=1/5
x∈R
(8x+2)/(5x-1)-(+13/7)=0
We get rid of parentheses
(8x+2)/(5x-1)-13/7=0
We calculate fractions
(56x+14)/(35x-7)+(-65x+13)/(35x-7)=0
We multiply all the terms by the denominator
(56x+14)+(-65x+13)=0
We get rid of parentheses
56x-65x+14+13=0
We add all the numbers together, and all the variables
-9x+27=0
We move all terms containing x to the left, all other terms to the right
-9x=-27
x=-27/-9
x=+3
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