2/(3x)-4=5/(6x)-7

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Solution for 2/(3x)-4=5/(6x)-7 equation: 


D( x )

6*x = 0

3*x = 0

6*x = 0

6*x = 0

6*x = 0 // : 6

x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x in (-oo:0) U (0:+oo)

2/(3*x)-4 = 5/(6*x)-7 // - 5/(6*x)-7

2/(3*x)-(5/(6*x))-4+7 = 0

2/(3*x)+(-5/6)*x^-1-4+7 = 0

-1/6*x^-1 = -3 // : -1/6

x^-1 = 18

-1 < 0

1/(x^1) = 18 // * x^1

1 = 18*x^1 // : 18

1/18 = x^1

x = 1/18

x = 1/18

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