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10x-3=2x+3
We move all terms to the left:
10x-3-(2x+3)=0
We get rid of parentheses
10x-2x-3-3=0
We add all the numbers together, and all the variables
8x-6=0
We move all terms containing x to the left, all other terms to the right
8x=6
x=6/8
x=3/4
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