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

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



X-5(X-1)=5(2-X)
We move all terms to the left:
X-5(X-1)-(5(2-X))=0
We add all the numbers together, and all the variables
X-5(X-1)-(5(-1X+2))=0
We multiply parentheses
X-5X-(5(-1X+2))+5=0
We calculate terms in parentheses: -(5(-1X+2)), so:
5(-1X+2)
We multiply parentheses
-5X+10
Back to the equation:
-(-5X+10)
We add all the numbers together, and all the variables
-4X-(-5X+10)+5=0
We get rid of parentheses
-4X+5X-10+5=0
We add all the numbers together, and all the variables
X-5=0
We move all terms containing X to the left, all other terms to the right
X=5

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