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(X-5)+2(3-X)=4(X-3)
We move all terms to the left:
(X-5)+2(3-X)-(4(X-3))=0
We add all the numbers together, and all the variables
(X-5)+2(-1X+3)-(4(X-3))=0
We multiply parentheses
(X-5)-2X-(4(X-3))+6=0
We get rid of parentheses
X-2X-(4(X-3))-5+6=0
We calculate terms in parentheses: -(4(X-3)), so:We add all the numbers together, and all the variables
4(X-3)
We multiply parentheses
4X-12
Back to the equation:
-(4X-12)
-1X-(4X-12)+1=0
We get rid of parentheses
-1X-4X+12+1=0
We add all the numbers together, and all the variables
-5X+13=0
We move all terms containing X to the left, all other terms to the right
-5X=-13
X=-13/-5
X=2+3/5
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