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4x-1=7x+1/2
We move all terms to the left:
4x-1-(7x+1/2)=0
We add all the numbers together, and all the variables
4x-(+7x+1/2)-1=0
We get rid of parentheses
4x-7x-1-1/2=0
We multiply all the terms by the denominator
4x*2-7x*2-1-1*2=0
We add all the numbers together, and all the variables
4x*2-7x*2-3=0
Wy multiply elements
8x-14x-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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