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5x-53=3x-23
We move all terms to the left:
5x-53-(3x-23)=0
We get rid of parentheses
5x-3x+23-53=0
We add all the numbers together, and all the variables
2x-30=0
We move all terms containing x to the left, all other terms to the right
2x=30
x=30/2
x=15
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