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4x-10=12x+22
We move all terms to the left:
4x-10-(12x+22)=0
We get rid of parentheses
4x-12x-22-10=0
We add all the numbers together, and all the variables
-8x-32=0
We move all terms containing x to the left, all other terms to the right
-8x=32
x=32/-8
x=-4
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