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5x-1=7x+15
We move all terms to the left:
5x-1-(7x+15)=0
We get rid of parentheses
5x-7x-15-1=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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