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15x-3=35x+5
We move all terms to the left:
15x-3-(35x+5)=0
We get rid of parentheses
15x-35x-5-3=0
We add all the numbers together, and all the variables
-20x-8=0
We move all terms containing x to the left, all other terms to the right
-20x=8
x=8/-20
x=-2/5
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