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2x+13=6x+3
We move all terms to the left:
2x+13-(6x+3)=0
We get rid of parentheses
2x-6x-3+13=0
We add all the numbers together, and all the variables
-4x+10=0
We move all terms containing x to the left, all other terms to the right
-4x=-10
x=-10/-4
x=2+1/2
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