30*1.10=x*1.50+(30-x)*0.90

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Solution for 30*1.10=x*1.50+(30-x)*0.90 equation: 



30*1.10=x*1.50+(30-x)*0.90

We move all terms to the left:

30*1.10-(x*1.50+(30-x)*0.90)=0

We add all the numbers together, and all the variables

-(x*1.50+(-1x+30)*0.90)+30*1.10=0

We add all the numbers together, and all the variables

-(x*1.50+(-1x+30)*0.90)+33=0



We calculate terms in parentheses: -(x*1.50+(-1x+30)*0.90), so:

x*1.50+(-1x+30)*0.90

We multiply parentheses

x*1.50-0.9x+27

Wy multiply elements

1.5x-0.9x+27

We add all the numbers together, and all the variables

0.6x+27

Back to the equation:

-(0.6x+27)



We get rid of parentheses

-0.6x-27+33=0

We add all the numbers together, and all the variables

-0.6x+6=0

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

-0.6x=-6

x=-6/-0.6

x=+10

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