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(x+8)3/2=343
We move all terms to the left:
(x+8)3/2-(343)=0
We multiply all the terms by the denominator
(x+8)3-343*2=0
We add all the numbers together, and all the variables
(x+8)3-686=0
We multiply parentheses
3x+24-686=0
We add all the numbers together, and all the variables
3x-662=0
We move all terms containing x to the left, all other terms to the right
3x=662
x=662/3
x=220+2/3
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