x(0.1)+40*(0.5)=(40+x)*(0.4)

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Solution for x(0.1)+40*(0.5)=(40+x)*(0.4) equation: 



x(0.1)+40(0.5)=(40+x)(0.4)

We move all terms to the left:

x(0.1)+40(0.5)-((40+x)(0.4))=0

We add all the numbers together, and all the variables

x(0.1)-((x+40)(0.4))+40(0.5)=0

We add all the numbers together, and all the variables

x(0.1)-((x+40)(0.4))+20=0

We multiply parentheses

0.1x-((x+40)(0.4))+20=0

We multiply parentheses ..

0.1x-((+0.4x+16))+20=0



We calculate terms in parentheses: -((+0.4x+16)), so:

(+0.4x+16)

We add all the numbers together, and all the variables

(0.4x+16)

We get rid of parentheses

0.4x+16

Back to the equation:

-(0.4x+16)



We get rid of parentheses

0.1x-0.4x-16+20=0

We add all the numbers together, and all the variables

-0.3x+4=0

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

-0.3x=-4

x=-4/-0.3

x=13+0.1/0.3

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