7(5-w)=3(w-5)

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Solution for 7(5-w)=3(w-5) equation:



7(5-w)=3(w-5)
We move all terms to the left:
7(5-w)-(3(w-5))=0
We add all the numbers together, and all the variables
7(-1w+5)-(3(w-5))=0
We multiply parentheses
-7w-(3(w-5))+35=0
We calculate terms in parentheses: -(3(w-5)), so:
3(w-5)
We multiply parentheses
3w-15
Back to the equation:
-(3w-15)
We get rid of parentheses
-7w-3w+15+35=0
We add all the numbers together, and all the variables
-10w+50=0
We move all terms containing w to the left, all other terms to the right
-10w=-50
w=-50/-10
w=+5

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