x=0.1(100+x)

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Solution for x=0.1(100+x) equation: 



x=0.1(100+x)

We move all terms to the left:

x-(0.1(100+x))=0

We add all the numbers together, and all the variables

x-(0.1(x+100))=0



We calculate terms in parentheses: -(0.1(x+100)), so:

0.1(x+100)

We multiply parentheses

0.1x+10

Back to the equation:

-(0.1x+10)



We get rid of parentheses

x-0.1x-10=0

We add all the numbers together, and all the variables

0.9x-10=0

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

0.9x=10

x=10/0.9

x=11+0.1/0.9

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