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7x+1/2=8x-13
We move all terms to the left:
7x+1/2-(8x-13)=0
We get rid of parentheses
7x-8x+13+1/2=0
We multiply all the terms by the denominator
7x*2-8x*2+1+13*2=0
We add all the numbers together, and all the variables
7x*2-8x*2+27=0
Wy multiply elements
14x-16x+27=0
We add all the numbers together, and all the variables
-2x+27=0
We move all terms containing x to the left, all other terms to the right
-2x=-27
x=-27/-2
x=13+1/2
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