(5x+2)/(6)=(x+10)/(3)-2

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Solution for (5x+2)/(6)=(x+10)/(3)-2 equation: 



(5x+2)/(6)=(x+10)/(3)-2

We move all terms to the left:

(5x+2)/(6)-((x+10)/(3)-2)=0

We calculate fractions


(15x+6)/()+(-((x+10)*6)/()=0



We calculate terms in parentheses: +(-((x+10)*6)/(), so:

-((x+10)*6)/(

We multiply all the terms by the denominator


-((x+10)*6)



We calculate terms in parentheses: -((x+10)*6), so:

(x+10)*6

We multiply parentheses

6x+60

Back to the equation:

-(6x+60)



We get rid of parentheses

-6x-60

Back to the equation:

+(-6x-60)



We get rid of parentheses

(15x+6)/()-6x-60=0

We multiply all the terms by the denominator


(15x+6)-6x*()-60*()=0

We add all the numbers together, and all the variables

(15x+6)-6x*()=0

We get rid of parentheses

15x-6x*()+6=0

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

15x-6x*()=-6

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