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2(2x-3)=5(2x-4)
We move all terms to the left:
2(2x-3)-(5(2x-4))=0
We multiply parentheses
4x-(5(2x-4))-6=0
We calculate terms in parentheses: -(5(2x-4)), so:We get rid of parentheses
5(2x-4)
We multiply parentheses
10x-20
Back to the equation:
-(10x-20)
4x-10x+20-6=0
We add all the numbers together, and all the variables
-6x+14=0
We move all terms containing x to the left, all other terms to the right
-6x=-14
x=-14/-6
x=2+1/3
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