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5x-15=-3x+5
We move all terms to the left:
5x-15-(-3x+5)=0
We get rid of parentheses
5x+3x-5-15=0
We add all the numbers together, and all the variables
8x-20=0
We move all terms containing x to the left, all other terms to the right
8x=20
x=20/8
x=2+1/2
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