6(x-1)/9=4(x+1)/10

Solution for 6(x-1)/9=4(x+1)/10 equation:

6(x-1)/9=4(x+1)/10

We move all terms to the left:

6(x-1)/9-(4(x+1)/10)=0

We calculate fractions


6x/()+(-(4(x+1)*9)/()=0


We calculate terms in parentheses: +(-(4(x+1)*9)/(), so:

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

We multiply all the terms by the denominator


-(4(x+1)*9)


We calculate terms in parentheses: -(4(x+1)*9), so:

4(x+1)*9

We multiply parentheses

36x+36

Back to the equation:

-(36x+36)


We get rid of parentheses

-36x-36

Back to the equation:

+(-36x-36)


We get rid of parentheses

6x/()-36x-36=0

We multiply all the terms by the denominator


6x-36x*()-36*()=0

We add all the numbers together, and all the variables

6x-36x*()=0