(x+7)/(3x+16)=4/7

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Solution for (x+7)/(3x+16)=4/7 equation: 



(x+7)/(3x+16)=4/7

We move all terms to the left:

(x+7)/(3x+16)-(4/7)=0



Domain of the equation: (3x+16)!=0

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

3x!=-16

x!=-16/3

x!=-5+1/3

x∈R



We add all the numbers together, and all the variables

(x+7)/(3x+16)-(+4/7)=0

We get rid of parentheses

(x+7)/(3x+16)-4/7=0

We calculate fractions


(7x+49)/(21x+112)+(-12x-64)/(21x+112)=0

We multiply all the terms by the denominator


(7x+49)+(-12x-64)=0

We get rid of parentheses

7x-12x+49-64=0

We add all the numbers together, and all the variables

-5x-15=0

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

-5x=15

x=15/-5

x=-3

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