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5x+7=12x+10
We move all terms to the left:
5x+7-(12x+10)=0
We get rid of parentheses
5x-12x-10+7=0
We add all the numbers together, and all the variables
-7x-3=0
We move all terms containing x to the left, all other terms to the right
-7x=3
x=3/-7
x=-3/7
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