(x-3)*7=5*(5-x)

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Solution for (x-3)*7=5*(5-x) equation: 



(x-3)*7=5(5-x)

We move all terms to the left:

(x-3)*7-(5(5-x))=0

We add all the numbers together, and all the variables

(x-3)*7-(5(-1x+5))=0

We multiply parentheses

7x-(5(-1x+5))-21=0



We calculate terms in parentheses: -(5(-1x+5)), so:

5(-1x+5)

We multiply parentheses

-5x+25

Back to the equation:

-(-5x+25)



We get rid of parentheses

7x+5x-25-21=0

We add all the numbers together, and all the variables

12x-46=0

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

12x=46

x=46/12

x=3+5/6

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