(8x+10)/(4x-6)=10

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Solution for (8x+10)/(4x-6)=10 equation:



(8x+10)/(4x-6)=10
We move all terms to the left:
(8x+10)/(4x-6)-(10)=0
Domain of the equation: (4x-6)!=0
We move all terms containing x to the left, all other terms to the right
4x!=6
x!=6/4
x!=1+1/2
x∈R
We multiply all the terms by the denominator
(8x+10)-10*(4x-6)=0
We multiply parentheses
(8x+10)-40x+60=0
We get rid of parentheses
8x-40x+10+60=0
We add all the numbers together, and all the variables
-32x+70=0
We move all terms containing x to the left, all other terms to the right
-32x=-70
x=-70/-32
x=2+3/16

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