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7/(4x-1)=2/(x+4)
We move all terms to the left:
7/(4x-1)-(2/(x+4))=0
Domain of the equation: (4x-1)!=0
We move all terms containing x to the left, all other terms to the right
4x!=1
x!=1/4
x!=1/4
x∈R
Domain of the equation: (x+4))!=0We calculate fractions
x∈R
7x/((4x-1)*(x+4)))+(-(2*(4x-1))/((4x-1)*(x+4)))=0
We calculate terms in parentheses: -(2*(4x-1))/((4x-1)*(x+4))), so:We add all the numbers together, and all the variables
2*(4x-1))/((4x-1)*(x+4))
We multiply all the terms by the denominator
2*(4x-1))
We multiply parentheses
8x+
We add all the numbers together, and all the variables
8x
Back to the equation:
-(8x)
-8x+7x/((4x-1)*(x+4)))+(=0
We multiply all the terms by the denominator
-8x*((4x-1)*(x+4)))+(+7x=0
We add all the numbers together, and all the variables
7x-8x*((4x-1)*(x+4)))+(=0
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