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

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

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

We move all terms to the left:

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


Domain of the equation: (6w+2)!=0

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

6w!=-2

w!=-2/6

w!=-1/3

w∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


(12w+24)/(24w+8)+(-18w-6)/(24w+8)=0

We multiply all the terms by the denominator


(12w+24)+(-18w-6)=0

We get rid of parentheses

12w-18w+24-6=0

We add all the numbers together, and all the variables

-6w+18=0

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

-6w=-18

w=-18/-6

w=+3