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

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Solution for 3(x+4)=5(4-x) equation: 



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

3x-(5(-1x+4))+12=0



We calculate terms in parentheses: -(5(-1x+4)), so:

5(-1x+4)

We multiply parentheses

-5x+20

Back to the equation:

-(-5x+20)



We get rid of parentheses

3x+5x-20+12=0

We add all the numbers together, and all the variables

8x-8=0

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

8x=8

x=8/8

x=1

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