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2(x-3)-5(x-1)=1/2
We move all terms to the left:
2(x-3)-5(x-1)-(1/2)=0
We add all the numbers together, and all the variables
2(x-3)-5(x-1)-(+1/2)=0
We multiply parentheses
2x-5x-6+5-(+1/2)=0
We get rid of parentheses
2x-5x-6+5-1/2=0
We multiply all the terms by the denominator
2x*2-5x*2-1-6*2+5*2=0
We add all the numbers together, and all the variables
2x*2-5x*2-3=0
Wy multiply elements
4x-10x-3=0
We add all the numbers together, and all the variables
-6x-3=0
We move all terms containing x to the left, all other terms to the right
-6x=3
x=3/-6
x=-1/2
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