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8x+6=12x+3
We move all terms to the left:
8x+6-(12x+3)=0
We get rid of parentheses
8x-12x-3+6=0
We add all the numbers together, and all the variables
-4x+3=0
We move all terms containing x to the left, all other terms to the right
-4x=-3
x=-3/-4
x=3/4
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