.2(2x+.5)=6(0.1x-3)-2

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Solution for .2(2x+.5)=6(0.1x-3)-2 equation: 



.2(2x+.5)=6(0.1x-3)-2

We move all terms to the left:

.2(2x+.5)-(6(0.1x-3)-2)=0

We add all the numbers together, and all the variables

.2(2x+0.5)-(6(0.1x-3)-2)=0

We multiply parentheses

0.4x-(6(0.1x-3)-2)+0.1=0



We calculate terms in parentheses: -(6(0.1x-3)-2), so:

6(0.1x-3)-2

We multiply parentheses

0x-18-2

We add all the numbers together, and all the variables

x-20

Back to the equation:

-(x-20)



We get rid of parentheses

0.4x-x+20+0.1=0

We add all the numbers together, and all the variables

-0.6x+20.1=0

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

-0.6x=-20.1

x=-20.1/-0.6

x=33+0.3/0.6

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