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-2(x-4)=5(3-x)
We move all terms to the left:
-2(x-4)-(5(3-x))=0
We add all the numbers together, and all the variables
-2(x-4)-(5(-1x+3))=0
We multiply parentheses
-2x-(5(-1x+3))+8=0
We calculate terms in parentheses: -(5(-1x+3)), so:We get rid of parentheses
5(-1x+3)
We multiply parentheses
-5x+15
Back to the equation:
-(-5x+15)
-2x+5x-15+8=0
We add all the numbers together, and all the variables
3x-7=0
We move all terms containing x to the left, all other terms to the right
3x=7
x=7/3
x=2+1/3
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