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2(x-4)=5(-x+4)
We move all terms to the left:
2(x-4)-(5(-x+4))=0
We add all the numbers together, and all the variables
2(x-4)-(5(-1x+4))=0
We multiply parentheses
2x-(5(-1x+4))-8=0
We calculate terms in parentheses: -(5(-1x+4)), so:We get rid of parentheses
5(-1x+4)
We multiply parentheses
-5x+20
Back to the equation:
-(-5x+20)
2x+5x-20-8=0
We add all the numbers together, and all the variables
7x-28=0
We move all terms containing x to the left, all other terms to the right
7x=28
x=28/7
x=4
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