5/6=(3a-9)/2

Solution for 5/6=(3a-9)/2 equation:

5/6=(3a-9)/2

We move all terms to the left:

5/6-((3a-9)/2)=0

We calculate fractions


(-((3a-9)*6)/()+()/()=0


We calculate terms in parentheses: +(-((3a-9)*6)/()+()/(), so:

-((3a-9)*6)/()+()/(

We add all the numbers together, and all the variables

-((3a-9)*6)/()+1

We multiply all the terms by the denominator


-((3a-9)*6)+1*()


We calculate terms in parentheses: -((3a-9)*6), so:

(3a-9)*6

We multiply parentheses

18a-54

Back to the equation:

-(18a-54)


We add all the numbers together, and all the variables

-(18a-54)

We get rid of parentheses

-18a+54

Back to the equation:

+(-18a+54)


We get rid of parentheses

-18a+54=0

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

-18a=-54

a=-54/-18

a=+3