(8x+10)/(7x+10)=13/12

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Solution for (8x+10)/(7x+10)=13/12 equation:



(8x+10)/(7x+10)=13/12
We move all terms to the left:
(8x+10)/(7x+10)-(13/12)=0
Domain of the equation: (7x+10)!=0
We move all terms containing x to the left, all other terms to the right
7x!=-10
x!=-10/7
x!=-1+3/7
x∈R
We add all the numbers together, and all the variables
(8x+10)/(7x+10)-(+13/12)=0
We get rid of parentheses
(8x+10)/(7x+10)-13/12=0
We calculate fractions
(96x+120)/(84x+120)+(-91x-130)/(84x+120)=0
We multiply all the terms by the denominator
(96x+120)+(-91x-130)=0
We get rid of parentheses
96x-91x+120-130=0
We add all the numbers together, and all the variables
5x-10=0
We move all terms containing x to the left, all other terms to the right
5x=10
x=10/5
x=2

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