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2x-17=-2+5x
We move all terms to the left:
2x-17-(-2+5x)=0
We add all the numbers together, and all the variables
2x-(5x-2)-17=0
We get rid of parentheses
2x-5x+2-17=0
We add all the numbers together, and all the variables
-3x-15=0
We move all terms containing x to the left, all other terms to the right
-3x=15
x=15/-3
x=-5
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