(4x+5)/(3x+11)=13/17

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Solution for (4x+5)/(3x+11)=13/17 equation: 



(4x+5)/(3x+11)=13/17

We move all terms to the left:

(4x+5)/(3x+11)-(13/17)=0



Domain of the equation: (3x+11)!=0

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

3x!=-11

x!=-11/3

x!=-3+2/3

x∈R



We add all the numbers together, and all the variables

(4x+5)/(3x+11)-(+13/17)=0

We get rid of parentheses

(4x+5)/(3x+11)-13/17=0

We calculate fractions


(68x+85)/(51x+187)+(-39x-143)/(51x+187)=0

We multiply all the terms by the denominator


(68x+85)+(-39x-143)=0

We get rid of parentheses

68x-39x+85-143=0

We add all the numbers together, and all the variables

29x-58=0

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

29x=58

x=58/29

x=2

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