9(x+4)=5(9-x)

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Solution for 9(x+4)=5(9-x) equation: 



9(x+4)=5(9-x)

We move all terms to the left:

9(x+4)-(5(9-x))=0

We add all the numbers together, and all the variables

9(x+4)-(5(-1x+9))=0

We multiply parentheses

9x-(5(-1x+9))+36=0



We calculate terms in parentheses: -(5(-1x+9)), so:

5(-1x+9)

We multiply parentheses

-5x+45

Back to the equation:

-(-5x+45)



We get rid of parentheses

9x+5x-45+36=0

We add all the numbers together, and all the variables

14x-9=0

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

14x=9

x=9/14

x=9/14

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