(7)-(w-4)=-(7)/(2w-8)+2

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Solution for (7)-(w-4)=-(7)/(2w-8)+2 equation: 



(7)-(w-4)=-(7)/(2w-8)+2

We move all terms to the left:

(7)-(w-4)-(-(7)/(2w-8)+2)=0



Domain of the equation: (2w-8)+2)!=0

w∈R



We get rid of parentheses

-w-(-7/(2w-8)+2)+4+7=0

We multiply all the terms by the denominator


-w*(2w-8)+4*(2w-8)+2)+7*(2w-7+2)-(-8)+2)=0

We add all the numbers together, and all the variables

-w*(2w-8)+4*(2w-8)+2)+7*(2w-5)-(-8)+2)=0

We add all the numbers together, and all the variables

-w*(2w-8)+4*(2w-8)+2)+7*(2w=0

We multiply parentheses

-2w^2+8w+8w+2)+7*(2w-32=0

We add all the numbers together, and all the variables

-2w^2+16w+2)+7*(2w-32=0

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

-2w^2+16w+2)+7*(2w=32

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