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8x-19=13x-21
We move all terms to the left:
8x-19-(13x-21)=0
We get rid of parentheses
8x-13x+21-19=0
We add all the numbers together, and all the variables
-5x+2=0
We move all terms containing x to the left, all other terms to the right
-5x=-2
x=-2/-5
x=2/5
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