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5x-55=x-3
We move all terms to the left:
5x-55-(x-3)=0
We get rid of parentheses
5x-x+3-55=0
We add all the numbers together, and all the variables
4x-52=0
We move all terms containing x to the left, all other terms to the right
4x=52
x=52/4
x=13
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