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