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x-5=3x+13/2
We move all terms to the left:
x-5-(3x+13/2)=0
We add all the numbers together, and all the variables
x-(+3x+13/2)-5=0
We get rid of parentheses
x-3x-5-13/2=0
We multiply all the terms by the denominator
x*2-3x*2-13-5*2=0
We add all the numbers together, and all the variables
x*2-3x*2-23=0
Wy multiply elements
2x-6x-23=0
We add all the numbers together, and all the variables
-4x-23=0
We move all terms containing x to the left, all other terms to the right
-4x=23
x=23/-4
x=-5+3/4
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