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