((2x+12)/3)+((x-12)/4)=13/2

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Solution for ((2x+12)/3)+((x-12)/4)=13/2 equation:



((2x+12)/3)+((x-12)/4)=13/2
We move all terms to the left:
((2x+12)/3)+((x-12)/4)-(13/2)=0
We add all the numbers together, and all the variables
((2x+12)/3)+((x-12)/4)-(+13/2)=0
We get rid of parentheses
((2x+12)/3)+((x-12)/4)-13/2=0
We calculate fractions
(((2x+12)*4)*2)/()+(((x-12)*3)*2)/()+()/()=0
We calculate terms in parentheses: +(((2x+12)*4)*2)/(), so:
((2x+12)*4)*2)/(
We multiply all the terms by the denominator
((2x+12)*4)*2)
We calculate terms in parentheses: +((2x+12)*4)*2), so:
(2x+12)*4)*2
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 calculate terms in parentheses: +(((x-12)*3)*2)/(), so:
((x-12)*3)*2)/(
We multiply all the terms by the denominator
((x-12)*3)*2)
We calculate terms in parentheses: +((x-12)*3)*2), so:
(x-12)*3)*2
We multiply parentheses
2x+
We add all the numbers together, and all the variables
2x
Back to the equation:
+(2x)
Back to the equation:
+(2x)
We add all the numbers together, and all the variables
6x+1=0
We move all terms containing x to the left, all other terms to the right
6x=-1
x=-1/6
x=-1/6

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