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10x-3=x+12
We move all terms to the left:
10x-3-(x+12)=0
We get rid of parentheses
10x-x-12-3=0
We add all the numbers together, and all the variables
9x-15=0
We move all terms containing x to the left, all other terms to the right
9x=15
x=15/9
x=1+2/3
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