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

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



4(3w+4)+3w=7(w+7)-9
We move all terms to the left:
4(3w+4)+3w-(7(w+7)-9)=0
We add all the numbers together, and all the variables
3w+4(3w+4)-(7(w+7)-9)=0
We multiply parentheses
3w+12w-(7(w+7)-9)+16=0
We calculate terms in parentheses: -(7(w+7)-9), so:
7(w+7)-9
We multiply parentheses
7w+49-9
We add all the numbers together, and all the variables
7w+40
Back to the equation:
-(7w+40)
We add all the numbers together, and all the variables
15w-(7w+40)+16=0
We get rid of parentheses
15w-7w-40+16=0
We add all the numbers together, and all the variables
8w-24=0
We move all terms containing w to the left, all other terms to the right
8w=24
w=24/8
w=3

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