3(x-2)=5(7-x)

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Solution for 3(x-2)=5(7-x) equation: 



3(x-2)=5(7-x)

We move all terms to the left:

3(x-2)-(5(7-x))=0

We add all the numbers together, and all the variables

3(x-2)-(5(-1x+7))=0

We multiply parentheses

3x-(5(-1x+7))-6=0



We calculate terms in parentheses: -(5(-1x+7)), so:

5(-1x+7)

We multiply parentheses

-5x+35

Back to the equation:

-(-5x+35)



We get rid of parentheses

3x+5x-35-6=0

We add all the numbers together, and all the variables

8x-41=0

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

8x=41

x=41/8

x=5+1/8

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