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-17=-5x+8
We move all terms to the left:
-17-(-5x+8)=0
We get rid of parentheses
5x-8-17=0
We add all the numbers together, and all the variables
5x-25=0
We move all terms containing x to the left, all other terms to the right
5x=25
x=25/5
x=5
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