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4x+12=2-x
We move all terms to the left:
4x+12-(2-x)=0
We add all the numbers together, and all the variables
4x-(-1x+2)+12=0
We get rid of parentheses
4x+1x-2+12=0
We add all the numbers together, and all the variables
5x+10=0
We move all terms containing x to the left, all other terms to the right
5x=-10
x=-10/5
x=-2
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