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x/2+5=1+3x/2
We move all terms to the left:
x/2+5-(1+3x/2)=0
We add all the numbers together, and all the variables
x/2-(3x/2+1)+5=0
We get rid of parentheses
x/2-3x/2-1+5=0
We multiply all the terms by the denominator
x-3x-1*2+5*2=0
We add all the numbers together, and all the variables
-2x+8=0
We move all terms containing x to the left, all other terms to the right
-2x=-8
x=-8/-2
x=+4
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