(8x-5)/(7x+1)=4/5

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Solution for (8x-5)/(7x+1)=4/5 equation:



(8x-5)/(7x+1)=4/5
We move all terms to the left:
(8x-5)/(7x+1)-(4/5)=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 add all the numbers together, and all the variables
(8x-5)/(7x+1)-(+4/5)=0
We get rid of parentheses
(8x-5)/(7x+1)-4/5=0
We calculate fractions
(40x-25)/(35x+5)+(-28x-4)/(35x+5)=0
We multiply all the terms by the denominator
(40x-25)+(-28x-4)=0
We get rid of parentheses
40x-28x-25-4=0
We add all the numbers together, and all the variables
12x-29=0
We move all terms containing x to the left, all other terms to the right
12x=29
x=29/12
x=2+5/12

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