3(x-4)=7(5-3x)

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Solution for 3(x-4)=7(5-3x) equation: 



3(x-4)=7(5-3x)

We move all terms to the left:

3(x-4)-(7(5-3x))=0

We add all the numbers together, and all the variables

3(x-4)-(7(-3x+5))=0

We multiply parentheses

3x-(7(-3x+5))-12=0



We calculate terms in parentheses: -(7(-3x+5)), so:

7(-3x+5)

We multiply parentheses

-21x+35

Back to the equation:

-(-21x+35)



We get rid of parentheses

3x+21x-35-12=0

We add all the numbers together, and all the variables

24x-47=0

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

24x=47

x=47/24

x=1+23/24

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