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5x-7=3x-23
We move all terms to the left:
5x-7-(3x-23)=0
We get rid of parentheses
5x-3x+23-7=0
We add all the numbers together, and all the variables
2x+16=0
We move all terms containing x to the left, all other terms to the right
2x=-16
x=-16/2
x=-8
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