4(x-4)=6(9-x)

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Solution for 4(x-4)=6(9-x) equation: 



4(x-4)=6(9-x)

We move all terms to the left:

4(x-4)-(6(9-x))=0

We add all the numbers together, and all the variables

4(x-4)-(6(-1x+9))=0

We multiply parentheses

4x-(6(-1x+9))-16=0



We calculate terms in parentheses: -(6(-1x+9)), so:

6(-1x+9)

We multiply parentheses

-6x+54

Back to the equation:

-(-6x+54)



We get rid of parentheses

4x+6x-54-16=0

We add all the numbers together, and all the variables

10x-70=0

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

10x=70

x=70/10

x=7

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