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8x+13=4x-15
We move all terms to the left:
8x+13-(4x-15)=0
We get rid of parentheses
8x-4x+15+13=0
We add all the numbers together, and all the variables
4x+28=0
We move all terms containing x to the left, all other terms to the right
4x=-28
x=-28/4
x=-7
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