40(1.15)+x(.40)=(.20)x+40

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Solution for 40(1.15)+x(.40)=(.20)x+40 equation: 



40(1.15)+x(.40)=(.20)x+40

We move all terms to the left:

40(1.15)+x(.40)-((.20)x+40)=0

We add all the numbers together, and all the variables

x(0.4)-((0.2)x+40)+40(1.15)=0

We add all the numbers together, and all the variables

x(0.4)-((0.2)x+40)+46=0

We multiply parentheses

0.4x-((0.2)x+40)+46=0



We calculate terms in parentheses: -((0.2)x+40), so:

(0.2)x+40

We multiply parentheses

0.2x+40

Back to the equation:

-(0.2x+40)



We get rid of parentheses

0.4x-0.2x-40+46=0

We add all the numbers together, and all the variables

0.2x+6=0

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

0.2x=-6

x=-6/0.2

x=-30

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