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3x-7=-5x+10
We move all terms to the left:
3x-7-(-5x+10)=0
We get rid of parentheses
3x+5x-10-7=0
We add all the numbers together, and all the variables
8x-17=0
We move all terms containing x to the left, all other terms to the right
8x=17
x=17/8
x=2+1/8
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