6=(2x+7)/(3x-4)

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Solution for 6=(2x+7)/(3x-4) equation:



6=(2x+7)/(3x-4)
We move all terms to the left:
6-((2x+7)/(3x-4))=0
Domain of the equation: (3x-4))!=0
x∈R
We multiply all the terms by the denominator
-((2x+7)+6*(3x-4))=0
We calculate terms in parentheses: -((2x+7)+6*(3x-4)), so:
(2x+7)+6*(3x-4)
We multiply parentheses
(2x+7)+18x-24
We get rid of parentheses
2x+18x+7-24
We add all the numbers together, and all the variables
20x-17
Back to the equation:
-(20x-17)
We get rid of parentheses
-20x+17=0
We move all terms containing x to the left, all other terms to the right
-20x=-17
x=-17/-20
x=17/20

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