(-22+3x)/(3x+7)=2

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Solution for (-22+3x)/(3x+7)=2 equation: 



(-22+3x)/(3x+7)=2

We move all terms to the left:

(-22+3x)/(3x+7)-(2)=0



Domain of the equation: (3x+7)!=0

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

3x!=-7

x!=-7/3

x!=-2+1/3

x∈R



We add all the numbers together, and all the variables

(3x-22)/(3x+7)-2=0

We multiply all the terms by the denominator


(3x-22)-2*(3x+7)=0

We multiply parentheses

(3x-22)-6x-14=0

We get rid of parentheses

3x-6x-22-14=0

We add all the numbers together, and all the variables

-3x-36=0

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

-3x=36

x=36/-3

x=-12

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