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-5x-3=8x+2
We move all terms to the left:
-5x-3-(8x+2)=0
We get rid of parentheses
-5x-8x-2-3=0
We add all the numbers together, and all the variables
-13x-5=0
We move all terms containing x to the left, all other terms to the right
-13x=5
x=5/-13
x=-5/13
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