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10x+12=8x+8
We move all terms to the left:
10x+12-(8x+8)=0
We get rid of parentheses
10x-8x-8+12=0
We add all the numbers together, and all the variables
2x+4=0
We move all terms containing x to the left, all other terms to the right
2x=-4
x=-4/2
x=-2
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