(0.2)(x)+(0.8)(6-x)=(0.4)(0.6)

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Solution for (0.2)(x)+(0.8)(6-x)=(0.4)(0.6) equation: 



(0.2)(x)+(0.8)(6-x)=(0.4)(0.6)

We move all terms to the left:

(0.2)(x)+(0.8)(6-x)-((0.4)(0.6))=0

We add all the numbers together, and all the variables

(0.2)x+(0.8)(-1x+6)-((0.4)(0.6))=0

We add all the numbers together, and all the variables

(0.2)x+(0.8)(-1x+6)-0.24=0

We multiply parentheses

0.2x+(0.8)(-1x+6)-0.24=0

We multiply parentheses ..

0.2x+(-0.8x+4.8)-0.24=0

We get rid of parentheses

0.2x-0.8x+4.8-0.24=0

We add all the numbers together, and all the variables

-0.6x+4.56=0

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

-0.6x=-4.56

x=-4.56/-0.6

x=7+0.36/0.6

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