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1/2+x=11/2
We move all terms to the left:
1/2+x-(11/2)=0
We add all the numbers together, and all the variables
x+1/2-(+11/2)=0
We get rid of parentheses
x+1/2-11/2=0
We multiply all the terms by the denominator
x*2+1-11=0
We add all the numbers together, and all the variables
x*2-10=0
Wy multiply elements
2x-10=0
We move all terms containing x to the left, all other terms to the right
2x=10
x=10/2
x=5
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