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8x-12=5x-34
We move all terms to the left:
8x-12-(5x-34)=0
We get rid of parentheses
8x-5x+34-12=0
We add all the numbers together, and all the variables
3x+22=0
We move all terms containing x to the left, all other terms to the right
3x=-22
x=-22/3
x=-7+1/3
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