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(7x-4)/(10x-6)=-7
We move all terms to the left:
(7x-4)/(10x-6)-(-7)=0
Domain of the equation: (10x-6)!=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
10x!=6
x!=6/10
x!=3/5
x∈R
(7x-4)/(10x-6)+7=0
We multiply all the terms by the denominator
(7x-4)+7*(10x-6)=0
We multiply parentheses
(7x-4)+70x-42=0
We get rid of parentheses
7x+70x-4-42=0
We add all the numbers together, and all the variables
77x-46=0
We move all terms containing x to the left, all other terms to the right
77x=46
x=46/77
x=46/77
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