(0.10)(10)=0.05(10-x)+0.40(10-x)

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Solution for (0.10)(10)=0.05(10-x)+0.40(10-x) equation: 



(0.10)(10)=0.05(10-x)+0.40(10-x)

We move all terms to the left:

(0.10)(10)-(0.05(10-x)+0.40(10-x))=0

We add all the numbers together, and all the variables

-(0.05(-1x+10)+0.40(-1x+10))+(0.1)10=0

We add all the numbers together, and all the variables

-(0.05(-1x+10)+0.40(-1x+10))+1=0



We calculate terms in parentheses: -(0.05(-1x+10)+0.40(-1x+10)), so:

0.05(-1x+10)+0.40(-1x+10)

We multiply parentheses

-0.05x-0.4x+0.5+4

We add all the numbers together, and all the variables

-0.45x+4.5

Back to the equation:

-(-0.45x+4.5)



We get rid of parentheses

0.45x-4.5+1=0

We add all the numbers together, and all the variables

0.45x-3.5=0

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

0.45x=3.5

x=3.5/0.45

x=7+0.35/0.45

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