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1/2-x+11/2=x-10
We move all terms to the left:
1/2-x+11/2-(x-10)=0
We add all the numbers together, and all the variables
-1x-(x-10)+1/2+11/2=0
We get rid of parentheses
-1x-x+10+1/2+11/2=0
We multiply all the terms by the denominator
-1x*2-x*2+1+11+10*2=0
We add all the numbers together, and all the variables
-1x*2-x*2+32=0
Wy multiply elements
-2x-2x+32=0
We add all the numbers together, and all the variables
-4x+32=0
We move all terms containing x to the left, all other terms to the right
-4x=-32
x=-32/-4
x=+8
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