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(x-4)-(x-3)=1/2
We move all terms to the left:
(x-4)-(x-3)-(1/2)=0
We add all the numbers together, and all the variables
(x-4)-(x-3)-(+1/2)=0
We get rid of parentheses
x-x-4+3-1/2=0
We multiply all the terms by the denominator
x*2-x*2-1-4*2+3*2=0
We add all the numbers together, and all the variables
x*2-x*2-3=0
Wy multiply elements
2x-2x-3=0
We add all the numbers together, and all the variables
-3!=0
There is no solution for this equation
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