38(38-5.5x)=14(5x-8)+21.5

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Solution for 38(38-5.5x)=14(5x-8)+21.5 equation: 



38(38-5.5x)=14(5x-8)+21.5

We move all terms to the left:

38(38-5.5x)-(14(5x-8)+21.5)=0

We add all the numbers together, and all the variables

38(-5.5x+38)-(14(5x-8)+21.5)=0

We multiply parentheses

-190x-(14(5x-8)+21.5)+1444=0



We calculate terms in parentheses: -(14(5x-8)+21.5), so:

14(5x-8)+21.5

We multiply parentheses

70x-112+21.5

We add all the numbers together, and all the variables

70x-90.5

Back to the equation:

-(70x-90.5)



We get rid of parentheses

-190x-70x+90.5+1444=0

We add all the numbers together, and all the variables

-260x+1534.5=0

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

-260x=-1534.5

x=-1534.5/-260

x=5+8.84905660377/9.81132075472

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