x/(11-4x)=5/16

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Solution for x/(11-4x)=5/16 equation: 



x/(11-4x)=5/16

We move all terms to the left:

x/(11-4x)-(5/16)=0



Domain of the equation: (11-4x)!=0

We move all terms containing x to the left, all other terms to the right

-4x!=-11

x!=-11/-4

x!=2+3/4

x∈R



We add all the numbers together, and all the variables

x/(-4x+11)-(+5/16)=0

We get rid of parentheses

x/(-4x+11)-5/16=0

We calculate fractions


16x/(-64x+176)+(20x-55)/(-64x+176)=0

We multiply all the terms by the denominator


16x+(20x-55)=0

We get rid of parentheses

16x+20x-55=0

We add all the numbers together, and all the variables

36x-55=0

We move all terms containing x to the left, all other terms to the right

36x=55

x=55/36

x=1+19/36

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