6(x-2)/9=2(x+1)/6

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Solution for 6(x-2)/9=2(x+1)/6 equation: 



6(x-2)/9=2(x+1)/6

We move all terms to the left:

6(x-2)/9-(2(x+1)/6)=0

We calculate fractions


6x/()+(-(2(x+1)*9)/()=0



We calculate terms in parentheses: +(-(2(x+1)*9)/(), so:

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

We multiply all the terms by the denominator


-(2(x+1)*9)



We calculate terms in parentheses: -(2(x+1)*9), so:

2(x+1)*9

We multiply parentheses

18x+18

Back to the equation:

-(18x+18)



We get rid of parentheses

-18x-18

Back to the equation:

+(-18x-18)



We get rid of parentheses

6x/()-18x-18=0

We multiply all the terms by the denominator


6x-18x*()-18*()=0

We add all the numbers together, and all the variables

6x-18x*()=0

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