30(38-6.5x)=15(6x-9)+78.0

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Solution for 30(38-6.5x)=15(6x-9)+78.0 equation: 



30(38-6.5x)=15(6x-9)+78.0

We move all terms to the left:

30(38-6.5x)-(15(6x-9)+78.0)=0

We add all the numbers together, and all the variables

30(-6.5x+38)-(15(6x-9)+78.0)=0

We multiply parentheses

-180x-(15(6x-9)+78.0)+1140=0



We calculate terms in parentheses: -(15(6x-9)+78.0), so:

15(6x-9)+78.0

We add all the numbers together, and all the variables

15(6x-9)+78

We multiply parentheses

90x-135+78

We add all the numbers together, and all the variables

90x-57

Back to the equation:

-(90x-57)



We get rid of parentheses

-180x-90x+57+1140=0

We add all the numbers together, and all the variables

-270x+1197=0

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

-270x=-1197

x=-1197/-270

x=4+13/30

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