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3x-3=5+5x
We move all terms to the left:
3x-3-(5+5x)=0
We add all the numbers together, and all the variables
3x-(5x+5)-3=0
We get rid of parentheses
3x-5x-5-3=0
We add all the numbers together, and all the variables
-2x-8=0
We move all terms containing x to the left, all other terms to the right
-2x=8
x=8/-2
x=-4
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