(x)(.4)+(500)(.7)=(x+500)(.5)

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Solution for (x)(.4)+(500)(.7)=(x+500)(.5) equation: 



(x)(.4)+(500)(.7)=(x+500)(.5)

We move all terms to the left:

(x)(.4)+(500)(.7)-((x+500)(.5))=0

We add all the numbers together, and all the variables

x(0.4)-((x+500)(0.5))+500(0.7)=0

We add all the numbers together, and all the variables

x(0.4)-((x+500)(0.5))+350=0

We multiply parentheses

0.4x-((x+500)(0.5))+350=0

We multiply parentheses ..

0.4x-((+0.5x+250))+350=0



We calculate terms in parentheses: -((+0.5x+250)), so:

(+0.5x+250)

We add all the numbers together, and all the variables

(0.5x+250)

We get rid of parentheses

0.5x+250

Back to the equation:

-(0.5x+250)



We get rid of parentheses

0.4x-0.5x-250+350=0

We add all the numbers together, and all the variables

-0.1x+100=0

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

-0.1x=-100

x=-100/-0.1

x=+1000

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