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4x+1=8x-3=4x+5
We move all terms to the left:
4x+1-(8x-3)=0
We get rid of parentheses
4x-8x+3+1=0
We add all the numbers together, and all the variables
-4x+4=0
We move all terms containing x to the left, all other terms to the right
-4x=-4
x=-4/-4
x=1
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