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

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



(7x+4)/(4x+5)=8
We move all terms to the left:
(7x+4)/(4x+5)-(8)=0
Domain of the equation: (4x+5)!=0
We move all terms containing x to the left, all other terms to the right
4x!=-5
x!=-5/4
x!=-1+1/4
x∈R
We multiply all the terms by the denominator
(7x+4)-8*(4x+5)=0
We multiply parentheses
(7x+4)-32x-40=0
We get rid of parentheses
7x-32x+4-40=0
We add all the numbers together, and all the variables
-25x-36=0
We move all terms containing x to the left, all other terms to the right
-25x=36
x=36/-25
x=-1+11/25

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