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4=(5x+8)/(2x-6)
We move all terms to the left:
4-((5x+8)/(2x-6))=0
Domain of the equation: (2x-6))!=0We multiply all the terms by the denominator
x∈R
-((5x+8)+4*(2x-6))=0
We calculate terms in parentheses: -((5x+8)+4*(2x-6)), so:We get rid of parentheses
(5x+8)+4*(2x-6)
We multiply parentheses
(5x+8)+8x-24
We get rid of parentheses
5x+8x+8-24
We add all the numbers together, and all the variables
13x-16
Back to the equation:
-(13x-16)
-13x+16=0
We move all terms containing x to the left, all other terms to the right
-13x=-16
x=-16/-13
x=1+3/13
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