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2x-5=3x-13/2
We move all terms to the left:
2x-5-(3x-13/2)=0
We add all the numbers together, and all the variables
2x-(+3x-13/2)-5=0
We get rid of parentheses
2x-3x-5+13/2=0
We multiply all the terms by the denominator
2x*2-3x*2+13-5*2=0
We add all the numbers together, and all the variables
2x*2-3x*2+3=0
Wy multiply elements
4x-6x+3=0
We add all the numbers together, and all the variables
-2x+3=0
We move all terms containing x to the left, all other terms to the right
-2x=-3
x=-3/-2
x=1+1/2
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