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

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



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

We move all terms to the left:

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

We add all the numbers together, and all the variables

x-4(-1x+5)-(7(x-4))=0

We multiply parentheses

x+4x-(7(x-4))-20=0



We calculate terms in parentheses: -(7(x-4)), so:

7(x-4)

We multiply parentheses

7x-28

Back to the equation:

-(7x-28)



We add all the numbers together, and all the variables

5x-(7x-28)-20=0

We get rid of parentheses

5x-7x+28-20=0

We add all the numbers together, and all the variables

-2x+8=0

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

-2x=-8

x=-8/-2

x=+4

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