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3(2x+1)-2(x-3)=2x+10
We move all terms to the left:
3(2x+1)-2(x-3)-(2x+10)=0
We multiply parentheses
6x-2x-(2x+10)+3+6=0
We get rid of parentheses
6x-2x-2x-10+3+6=0
We add all the numbers together, and all the variables
2x-1=0
We move all terms containing x to the left, all other terms to the right
2x=1
x=1/2
x=1/2
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