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10x-2=8x-12
We move all terms to the left:
10x-2-(8x-12)=0
We get rid of parentheses
10x-8x+12-2=0
We add all the numbers together, and all the variables
2x+10=0
We move all terms containing x to the left, all other terms to the right
2x=-10
x=-10/2
x=-5
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