2(1-x)=5(7-x)

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Solution for 2(1-x)=5(7-x) equation:



2(1-x)=5(7-x)
We move all terms to the left:
2(1-x)-(5(7-x))=0
We add all the numbers together, and all the variables
2(-1x+1)-(5(-1x+7))=0
We multiply parentheses
-2x-(5(-1x+7))+2=0
We calculate terms in parentheses: -(5(-1x+7)), so:
5(-1x+7)
We multiply parentheses
-5x+35
Back to the equation:
-(-5x+35)
We get rid of parentheses
-2x+5x-35+2=0
We add all the numbers together, and all the variables
3x-33=0
We move all terms containing x to the left, all other terms to the right
3x=33
x=33/3
x=11

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