(x+9)5=(x-7)10

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Solution for (x+9)5=(x-7)10 equation: 



(x+9)5=(x-7)10

We move all terms to the left:

(x+9)5-((x-7)10)=0

We multiply parentheses

5x-((x-7)10)+45=0



We calculate terms in parentheses: -((x-7)10), so:

(x-7)10

We multiply parentheses

10x-70

Back to the equation:

-(10x-70)



We get rid of parentheses

5x-10x+70+45=0

We add all the numbers together, and all the variables

-5x+115=0

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

-5x=-115

x=-115/-5

x=+23

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