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10+2x=5x+3
We move all terms to the left:
10+2x-(5x+3)=0
We get rid of parentheses
2x-5x-3+10=0
We add all the numbers together, and all the variables
-3x+7=0
We move all terms containing x to the left, all other terms to the right
-3x=-7
x=-7/-3
x=2+1/3
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