2/9=(x-5)/6

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



2/9=(x-5)/6

We move all terms to the left:

2/9-((x-5)/6)=0

We calculate fractions


(-((x-5)*9)/()+()/()=0



We calculate terms in parentheses: +(-((x-5)*9)/()+()/(), so:

-((x-5)*9)/()+()/(

We add all the numbers together, and all the variables

-((x-5)*9)/()+1

We multiply all the terms by the denominator


-((x-5)*9)+1*()



We calculate terms in parentheses: -((x-5)*9), so:

(x-5)*9

We multiply parentheses

9x-45

Back to the equation:

-(9x-45)



We add all the numbers together, and all the variables

-(9x-45)

We get rid of parentheses

-9x+45

Back to the equation:

+(-9x+45)



We get rid of parentheses

-9x+45=0

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

-9x=-45

x=-45/-9

x=+5

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