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3(x-2)+2x=x+3
We move all terms to the left:
3(x-2)+2x-(x+3)=0
We add all the numbers together, and all the variables
2x+3(x-2)-(x+3)=0
We multiply parentheses
2x+3x-(x+3)-6=0
We get rid of parentheses
2x+3x-x-3-6=0
We add all the numbers together, and all the variables
4x-9=0
We move all terms containing x to the left, all other terms to the right
4x=9
x=9/4
x=2+1/4
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