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5x+1/2=3x-51/2=
We move all terms to the left:
5x+1/2-(3x-51/2)=0
We add all the numbers together, and all the variables
5x-(+3x-51/2)+1/2=0
We get rid of parentheses
5x-3x+51/2+1/2=0
We multiply all the terms by the denominator
5x*2-3x*2+51+1=0
We add all the numbers together, and all the variables
5x*2-3x*2+52=0
Wy multiply elements
10x-6x+52=0
We add all the numbers together, and all the variables
4x+52=0
We move all terms containing x to the left, all other terms to the right
4x=-52
x=-52/4
x=-13
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