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5x+8=12x-34
We move all terms to the left:
5x+8-(12x-34)=0
We get rid of parentheses
5x-12x+34+8=0
We add all the numbers together, and all the variables
-7x+42=0
We move all terms containing x to the left, all other terms to the right
-7x=-42
x=-42/-7
x=+6
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