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5x-10=x+1/2
We move all terms to the left:
5x-10-(x+1/2)=0
We add all the numbers together, and all the variables
5x-(+x+1/2)-10=0
We get rid of parentheses
5x-x-10-1/2=0
We multiply all the terms by the denominator
5x*2-x*2-1-10*2=0
We add all the numbers together, and all the variables
5x*2-x*2-21=0
Wy multiply elements
10x-2x-21=0
We add all the numbers together, and all the variables
8x-21=0
We move all terms containing x to the left, all other terms to the right
8x=21
x=21/8
x=2+5/8
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