(2x+6)/(x+6)=3/4

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Solution for (2x+6)/(x+6)=3/4 equation: 



(2x+6)/(x+6)=3/4

We move all terms to the left:

(2x+6)/(x+6)-(3/4)=0



Domain of the equation: (x+6)!=0

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

x!=-6

x∈R



We add all the numbers together, and all the variables

(2x+6)/(x+6)-(+3/4)=0

We get rid of parentheses

(2x+6)/(x+6)-3/4=0

We calculate fractions


(8x+24)/(4x+24)+(-3x-18)/(4x+24)=0

We multiply all the terms by the denominator


(8x+24)+(-3x-18)=0

We get rid of parentheses

8x-3x+24-18=0

We add all the numbers together, and all the variables

5x+6=0

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

5x=-6

x=-6/5

x=-1+1/5

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