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