((3x+2)/5)-((x+6)/3)=1/4

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Solution for ((3x+2)/5)-((x+6)/3)=1/4 equation: 



((3x+2)/5)-((x+6)/3)=1/4

We move all terms to the left:

((3x+2)/5)-((x+6)/3)-(1/4)=0

We add all the numbers together, and all the variables

((3x+2)/5)-((x+6)/3)-(+1/4)=0

We get rid of parentheses

((3x+2)/5)-((x+6)/3)-1/4=0

We calculate fractions


(((3x+2)*3)*4)/()+(-((x+6)*5)*4)/()+()/()=0



We calculate terms in parentheses: +(((3x+2)*3)*4)/(), so:

((3x+2)*3)*4)/(

We multiply all the terms by the denominator


((3x+2)*3)*4)



We calculate terms in parentheses: +((3x+2)*3)*4), so:

(3x+2)*3)*4

We multiply parentheses

12x+

We add all the numbers together, and all the variables

12x

Back to the equation:

+(12x)



Back to the equation:

+(12x)





We calculate terms in parentheses: +(-((x+6)*5)*4)/(), so:

-((x+6)*5)*4)/(

We multiply all the terms by the denominator


-((x+6)*5)*4)



We calculate terms in parentheses: -((x+6)*5)*4), so:

(x+6)*5)*4

We multiply parentheses

4x+

We add all the numbers together, and all the variables

4x

Back to the equation:

-(4x)



Back to the equation:

+(-4x)



We add all the numbers together, and all the variables

12x+(-4x)+1=0

We get rid of parentheses

12x-4x+1=0

We add all the numbers together, and all the variables

8x+1=0

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

8x=-1

x=-1/8

x=-1/8

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