3(w+4)=-3(4w-7)+9w

Solution for 3(w+4)=-3(4w-7)+9w equation:

3(w+4)=-3(4w-7)+9w

We move all terms to the left:

3(w+4)-(-3(4w-7)+9w)=0

We multiply parentheses

3w-(-3(4w-7)+9w)+12=0


We calculate terms in parentheses: -(-3(4w-7)+9w), so:

-3(4w-7)+9w

We add all the numbers together, and all the variables

9w-3(4w-7)

We multiply parentheses

9w-12w+21

We add all the numbers together, and all the variables

-3w+21

Back to the equation:

-(-3w+21)


We get rid of parentheses

3w+3w-21+12=0

We add all the numbers together, and all the variables

6w-9=0

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

6w=9

w=9/6

w=1+1/2