(x-3)-2(x-5)=6(x-2)

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Solution for (x-3)-2(x-5)=6(x-2) equation:



(x-3)-2(x-5)=6(x-2)
We move all terms to the left:
(x-3)-2(x-5)-(6(x-2))=0
We multiply parentheses
(x-3)-2x-(6(x-2))+10=0
We get rid of parentheses
x-2x-(6(x-2))-3+10=0
We calculate terms in parentheses: -(6(x-2)), so:
6(x-2)
We multiply parentheses
6x-12
Back to the equation:
-(6x-12)
We add all the numbers together, and all the variables
-1x-(6x-12)+7=0
We get rid of parentheses
-1x-6x+12+7=0
We add all the numbers together, and all the variables
-7x+19=0
We move all terms containing x to the left, all other terms to the right
-7x=-19
x=-19/-7
x=2+5/7

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