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10x+4=3x-12
We move all terms to the left:
10x+4-(3x-12)=0
We get rid of parentheses
10x-3x+12+4=0
We add all the numbers together, and all the variables
7x+16=0
We move all terms containing x to the left, all other terms to the right
7x=-16
x=-16/7
x=-2+2/7
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