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12x+5=13x-5
We move all terms to the left:
12x+5-(13x-5)=0
We get rid of parentheses
12x-13x+5+5=0
We add all the numbers together, and all the variables
-1x+10=0
We move all terms containing x to the left, all other terms to the right
-x=-10
x=-10/-1
x=+10
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