8/9=(30+a)/45

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Solution for 8/9=(30+a)/45 equation: 



8/9=(30+a)/45

We move all terms to the left:

8/9-((30+a)/45)=0

We add all the numbers together, and all the variables

-((a+30)/45)+8/9=0

We calculate fractions


(-((a+30)*9)/()+()/()=0



We calculate terms in parentheses: +(-((a+30)*9)/()+()/(), so:

-((a+30)*9)/()+()/(

We add all the numbers together, and all the variables

-((a+30)*9)/()+1

We multiply all the terms by the denominator


-((a+30)*9)+1*()



We calculate terms in parentheses: -((a+30)*9), so:

(a+30)*9

We multiply parentheses

9a+270

Back to the equation:

-(9a+270)



We add all the numbers together, and all the variables

-(9a+270)

We get rid of parentheses

-9a-270

Back to the equation:

+(-9a-270)



We get rid of parentheses

-9a-270=0

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

-9a=270

a=270/-9

a=-30

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