x-5(x-1)=(2-x)

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Solution for x-5(x-1)=(2-x) equation: 



x-5(x-1)=(2-x)

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

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



We calculate terms in parentheses: -((-1x+2)), so:

(-1x+2)

We get rid of parentheses

-1x+2

Back to the equation:

-(-1x+2)



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We add all the numbers together, and all the variables

-3x+3=0

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

-3x=-3

x=-3/-3

x=1

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