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5x-8=7x-1
We move all terms to the left:
5x-8-(7x-1)=0
We get rid of parentheses
5x-7x+1-8=0
We add all the numbers together, and all the variables
-2x-7=0
We move all terms containing x to the left, all other terms to the right
-2x=7
x=7/-2
x=-3+1/2
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