0.3(1-x)-0.2x=0.4(0.5x+6)

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Solution for 0.3(1-x)-0.2x=0.4(0.5x+6) equation: 



0.3(1-x)-0.2x=0.4(0.5x+6)

We move all terms to the left:

0.3(1-x)-0.2x-(0.4(0.5x+6))=0

We add all the numbers together, and all the variables

0.3(-1x+1)-0.2x-(0.4(0.5x+6))=0

We add all the numbers together, and all the variables

-0.2x+0.3(-1x+1)-(0.4(0.5x+6))=0

We multiply parentheses

-0.2x-0.3x-(0.4(0.5x+6))+0.3=0



We calculate terms in parentheses: -(0.4(0.5x+6)), so:

0.4(0.5x+6)

We multiply parentheses

0x+2.4

We add all the numbers together, and all the variables

x+2.4

Back to the equation:

-(x+2.4)



We add all the numbers together, and all the variables

-0.5x-(x+2.4)+0.3=0

We get rid of parentheses

-0.5x-x-2.4+0.3=0

We add all the numbers together, and all the variables

-1.5x-2.1=0

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

-1.5x=2.1

x=2.1/-1.5

x=-1+0.6/1.5

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