(2/3)-(7/(9-4x))=-(9/(9-4x))

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Solution for (2/3)-(7/(9-4x))=-(9/(9-4x)) equation:


D( x )

9-(4*x) = 0

9-(4*x) = 0

9-(4*x) = 0

9-4*x = 0

9-4*x = 0 // - 9

-4*x = -9 // : -4

x = -9/(-4)

x = 9/4

x in (-oo:9/4) U (9/4:+oo)

2/3-(7/(9-(4*x))) = -(9/(9-(4*x))) // + 9/(9-(4*x))

9/(9-(4*x))-(7/(9-(4*x)))+2/3 = 0

9/(9-4*x)-7*(9-4*x)^-1+2/3 = 0

9/(9-4*x)-7/(9-4*x)+2/3 = 0

(-7*3)/(3*(9-4*x))+(3*9)/(3*(9-4*x))+(2*(9-4*x))/(3*(9-4*x)) = 0

2*(9-4*x)-7*3+3*9 = 0

6-8*x+18 = 0

24-8*x = 0

(24-8*x)/(3*(9-4*x)) = 0

(24-8*x)/(3*(9-4*x)) = 0 // * 3*(9-4*x)

24-8*x = 0

24-8*x = 0 // - 24

-8*x = -24 // : -8

x = -24/(-8)

x = 3

x = 3

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