0.1(x+6)-0.7x=0.4(2x-2)+8.4

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Solution for 0.1(x+6)-0.7x=0.4(2x-2)+8.4 equation: 



0.1(x+6)-0.7x=0.4(2x-2)+8.4

We move all terms to the left:

0.1(x+6)-0.7x-(0.4(2x-2)+8.4)=0

We add all the numbers together, and all the variables

-0.7x+0.1(x+6)-(0.4(2x-2)+8.4)=0

We multiply parentheses

-0.7x+0.1x-(0.4(2x-2)+8.4)+0.6=0



We calculate terms in parentheses: -(0.4(2x-2)+8.4), so:

0.4(2x-2)+8.4

We multiply parentheses

0.8x-0.8+8.4

We add all the numbers together, and all the variables

0.8x+7.6

Back to the equation:

-(0.8x+7.6)



We add all the numbers together, and all the variables

-0.6x-(0.8x+7.6)+0.6=0

We get rid of parentheses

-0.6x-0.8x-7.6+0.6=0

We add all the numbers together, and all the variables

-1.4x-7=0

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

-1.4x=7

x=7/-1.4

x=-5

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