(x-2)3=(x+6)5

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Solution for (x-2)3=(x+6)5 equation: 



(x-2)3=(x+6)5

We move all terms to the left:

(x-2)3-((x+6)5)=0

We multiply parentheses

3x-((x+6)5)-6=0



We calculate terms in parentheses: -((x+6)5), so:

(x+6)5

We multiply parentheses

5x+30

Back to the equation:

-(5x+30)



We get rid of parentheses

3x-5x-30-6=0

We add all the numbers together, and all the variables

-2x-36=0

We move all terms containing x to the left, all other terms to the right

-2x=36

x=36/-2

x=-18

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