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4x-13=8x-15
We move all terms to the left:
4x-13-(8x-15)=0
We get rid of parentheses
4x-8x+15-13=0
We add all the numbers together, and all the variables
-4x+2=0
We move all terms containing x to the left, all other terms to the right
-4x=-2
x=-2/-4
x=1/2
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