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5x+12=6x+22
We move all terms to the left:
5x+12-(6x+22)=0
We get rid of parentheses
5x-6x-22+12=0
We add all the numbers together, and all the variables
-1x-10=0
We move all terms containing x to the left, all other terms to the right
-x=10
x=10/-1
x=-10
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