9+2(2w-3)=-3(2w-2)+w

Solution for 9+2(2w-3)=-3(2w-2)+w equation:

9+2(2w-3)=-3(2w-2)+w

We move all terms to the left:

9+2(2w-3)-(-3(2w-2)+w)=0

We multiply parentheses

4w-(-3(2w-2)+w)-6+9=0


We calculate terms in parentheses: -(-3(2w-2)+w), so:

-3(2w-2)+w

We add all the numbers together, and all the variables

w-3(2w-2)

We multiply parentheses

w-6w+6

We add all the numbers together, and all the variables

-5w+6

Back to the equation:

-(-5w+6)


We add all the numbers together, and all the variables

4w-(-5w+6)+3=0

We get rid of parentheses

4w+5w-6+3=0

We add all the numbers together, and all the variables

9w-3=0

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

9w=3

w=3/9

w=1/3