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8+3(x-2)=12-2x
We move all terms to the left:
8+3(x-2)-(12-2x)=0
We add all the numbers together, and all the variables
3(x-2)-(-2x+12)+8=0
We multiply parentheses
3x-(-2x+12)-6+8=0
We get rid of parentheses
3x+2x-12-6+8=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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