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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

7x-(3(-1x+5))-35=0



We calculate terms in parentheses: -(3(-1x+5)), so:

3(-1x+5)

We multiply parentheses

-3x+15

Back to the equation:

-(-3x+15)



We get rid of parentheses

7x+3x-15-35=0

We add all the numbers together, and all the variables

10x-50=0

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

10x=50

x=50/10

x=5

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