2(x-5)=5(4-x)

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Solution for 2(x-5)=5(4-x) equation: 



2(x-5)=5(4-x)

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

2x-(5(-1x+4))-10=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

2x+5x-20-10=0

We add all the numbers together, and all the variables

7x-30=0

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

7x=30

x=30/7

x=4+2/7

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