(5/4)-(3)/(6x+12)=(1/3)

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Solution for (5/4)-(3)/(6x+12)=(1/3) equation: 


D( x )

6*x+12 = 0

6*x+12 = 0

6*x+12 = 0

6*x+12 = 0 // - 12

6*x = -12 // : 6

x = -12/6

x = -2

x in (-oo:-2) U (-2:+oo)

5/4-(3/(6*x+12)) = 1/3 // - 1/3

5/4-(3/(6*x+12))-(1/3) = 0

5/4-3*(6*x+12)^-1-1/3 = 0

5/4-3/(6*x+12)-1/3 = 0

(-3*3*4)/(3*4*(6*x+12))+(3*5*(6*x+12))/(3*4*(6*x+12))+(-1*4*(6*x+12))/(3*4*(6*x+12)) = 0

3*5*(6*x+12)-1*4*(6*x+12)-3*3*4 = 0

90*x-24*x-48+144 = 0

66*x+96 = 0

(66*x+96)/(3*4*(6*x+12)) = 0

(66*x+96)/(3*4*(6*x+12)) = 0 // * 3*4*(6*x+12)

66*x+96 = 0

66*x+96 = 0 // - 96

66*x = -96 // : 66

x = -96/66

x = -16/11

x = -16/11

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