6(x-2)/8=3(x+6)/12

Solution for 6(x-2)/8=3(x+6)/12 equation:

6(x-2)/8=3(x+6)/12

We move all terms to the left:

6(x-2)/8-(3(x+6)/12)=0

We calculate fractions


6x/()+(-(3(x+6)*8)/()=0


We calculate terms in parentheses: +(-(3(x+6)*8)/(), so:

-(3(x+6)*8)/(

We multiply all the terms by the denominator


-(3(x+6)*8)


We calculate terms in parentheses: -(3(x+6)*8), so:

3(x+6)*8

We multiply parentheses

24x+144

Back to the equation:

-(24x+144)


We get rid of parentheses

-24x-144

Back to the equation:

+(-24x-144)


We get rid of parentheses

6x/()-24x-144=0

We multiply all the terms by the denominator


6x-24x*()-144*()=0

We add all the numbers together, and all the variables

6x-24x*()=0