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10x+5=12x+17
We move all terms to the left:
10x+5-(12x+17)=0
We get rid of parentheses
10x-12x-17+5=0
We add all the numbers together, and all the variables
-2x-12=0
We move all terms containing x to the left, all other terms to the right
-2x=12
x=12/-2
x=-6
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