(1/3x-8)5=(-2-x)4

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Solution for (1/3x-8)5=(-2-x)4 equation:



(1/3x-8)5=(-2-x)4
We move all terms to the left:
(1/3x-8)5-((-2-x)4)=0
Domain of the equation: 3x-8)5!=0
x∈R
We add all the numbers together, and all the variables
(1/3x-8)5-((-1x-2)4)=0
We multiply parentheses
5x-((-1x-2)4)-40=0
We calculate terms in parentheses: -((-1x-2)4), so:
(-1x-2)4
We multiply parentheses
-4x-8
Back to the equation:
-(-4x-8)
We get rid of parentheses
5x+4x+8-40=0
We add all the numbers together, and all the variables
9x-32=0
We move all terms containing x to the left, all other terms to the right
9x=32
x=32/9
x=3+5/9

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