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2x-7=5x-53
We move all terms to the left:
2x-7-(5x-53)=0
We get rid of parentheses
2x-5x+53-7=0
We add all the numbers together, and all the variables
-3x+46=0
We move all terms containing x to the left, all other terms to the right
-3x=-46
x=-46/-3
x=15+1/3
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