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3x+55=8x+15
We move all terms to the left:
3x+55-(8x+15)=0
We get rid of parentheses
3x-8x-15+55=0
We add all the numbers together, and all the variables
-5x+40=0
We move all terms containing x to the left, all other terms to the right
-5x=-40
x=-40/-5
x=+8
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