(x+6)/(2x-3)=7/10

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Solution for (x+6)/(2x-3)=7/10 equation: 


D( x )

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0

2*x-3 = 0 // + 3

2*x = 3 // : 2

x = 3/2

x in (-oo:3/2) U (3/2:+oo)

(x+6)/(2*x-3) = 7/10 // - 7/10

(x+6)/(2*x-3)-(7/10) = 0

(x+6)/(2*x-3)-7/10 = 0

(10*(x+6))/(10*(2*x-3))+(-7*(2*x-3))/(10*(2*x-3)) = 0

10*(x+6)-7*(2*x-3) = 0

81-4*x = 0

(81-4*x)/(10*(2*x-3)) = 0

(81-4*x)/(10*(2*x-3)) = 0 // * 10*(2*x-3)

81-4*x = 0

81-4*x = 0 // - 81

-4*x = -81 // : -4

x = -81/(-4)

x = 81/4

x = 81/4

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