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x/2+2=8-x/2
We move all terms to the left:
x/2+2-(8-x/2)=0
We add all the numbers together, and all the variables
x/2-(-x/2+8)+2=0
We get rid of parentheses
x/2+x/2-8+2=0
We multiply all the terms by the denominator
x+x-8*2+2*2=0
We add all the numbers together, and all the variables
2x-12=0
We move all terms containing x to the left, all other terms to the right
2x=12
x=12/2
x=6
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